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Finding the Fourth Proportional to 402,029,331.90, 561,693,152.10 and 402,029,331.90

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Solution

The fourth proportional to 402,029,331.90, 561,693,152.10 and 402,029,331.90 is: 561,693,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,029,331.90 : 561,693,152.10 = 402,029,331.90 : x
  2. Step 2: Convert to fraction form
    402,029,331.90/561,693,152.10 = 402,029,331.90/x
  3. Step 3: Cross multiply
    402,029,331.90x = 561,693,152.10 × 402,029,331.90
  4. Step 4: Simplify right side
    402,029,331.90x = 225,817,122,671,568,064
  5. Step 5: Solve for x
    x = 225,817,122,671,568,064/402,029,331.90
  6. Step 6: Final answer
    x = 561,693,152.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.