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Finding the Fourth Proportional to 147,029,234,782.15, 220,543,852,173.22 and 147,029,234,782.15

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Solution

The fourth proportional to 147,029,234,782.15, 220,543,852,173.22 and 147,029,234,782.15 is: 220,543,852,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,029,234,782.15 : 220,543,852,173.22 = 147,029,234,782.15 : x
  2. Step 2: Convert to fraction form
    147,029,234,782.15/220,543,852,173.22 = 147,029,234,782.15/x
  3. Step 3: Cross multiply
    147,029,234,782.15x = 220,543,852,173.22 × 147,029,234,782.15
  4. Step 4: Simplify right side
    147,029,234,782.15x = 32,426,393,820,936,145,993,728
  5. Step 5: Solve for x
    x = 32,426,393,820,936,145,993,728/147,029,234,782.15
  6. Step 6: Final answer
    x = 220,543,852,173.22

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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.