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Finding the Fourth Proportional to 602,877,809.20, 904,316,713.80 and 577,368,641.20

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Solution

The fourth proportional to 602,877,809.20, 904,316,713.80 and 577,368,641.20 is: 866,052,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,877,809.20 : 904,316,713.80 = 577,368,641.20 : x
  2. Step 2: Convert to fraction form
    602,877,809.20/904,316,713.80 = 577,368,641.20/x
  3. Step 3: Cross multiply
    602,877,809.20x = 904,316,713.80 × 577,368,641.20
  4. Step 4: Simplify right side
    602,877,809.20x = 522,124,112,261,155,328
  5. Step 5: Solve for x
    x = 522,124,112,261,155,328/602,877,809.20
  6. Step 6: Final answer
    x = 866,052,961.80

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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.