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Finding the Fourth Proportional to 76,676,989,552.65, 115,015,484,328.97 and 76,676,989,552.65

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Solution

The fourth proportional to 76,676,989,552.65, 115,015,484,328.97 and 76,676,989,552.65 is: 115,015,484,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676,989,552.65 : 115,015,484,328.97 = 76,676,989,552.65 : x
  2. Step 2: Convert to fraction form
    76,676,989,552.65/115,015,484,328.97 = 76,676,989,552.65/x
  3. Step 3: Cross multiply
    76,676,989,552.65x = 115,015,484,328.97 × 76,676,989,552.65
  4. Step 4: Simplify right side
    76,676,989,552.65x = 8,819,041,090,285,412,024,320
  5. Step 5: Solve for x
    x = 8,819,041,090,285,412,024,320/76,676,989,552.65
  6. Step 6: Final answer
    x = 115,015,484,328.97

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.