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Finding the Fourth Proportional to 147,029,234,552.15, 220,543,851,828.22 and 147,029,234,552.15

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Solution

The fourth proportional to 147,029,234,552.15, 220,543,851,828.22 and 147,029,234,552.15 is: 220,543,851,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,029,234,552.15 : 220,543,851,828.22 = 147,029,234,552.15 : x
  2. Step 2: Convert to fraction form
    147,029,234,552.15/220,543,851,828.22 = 147,029,234,552.15/x
  3. Step 3: Cross multiply
    147,029,234,552.15x = 220,543,851,828.22 × 147,029,234,552.15
  4. Step 4: Simplify right side
    147,029,234,552.15x = 32,426,393,719,485,973,397,504
  5. Step 5: Solve for x
    x = 32,426,393,719,485,973,397,504/147,029,234,552.15
  6. Step 6: Final answer
    x = 220,543,851,828.22

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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.