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Finding the Fourth Proportional to 459,781,886.60, 689,672,829.90 and 409,897,291.40

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Solution

The fourth proportional to 459,781,886.60, 689,672,829.90 and 409,897,291.40 is: 614,845,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,781,886.60 : 689,672,829.90 = 409,897,291.40 : x
  2. Step 2: Convert to fraction form
    459,781,886.60/689,672,829.90 = 409,897,291.40/x
  3. Step 3: Cross multiply
    459,781,886.60x = 689,672,829.90 × 409,897,291.40
  4. Step 4: Simplify right side
    459,781,886.60x = 282,695,024,928,182,912
  5. Step 5: Solve for x
    x = 282,695,024,928,182,912/459,781,886.60
  6. Step 6: Final answer
    x = 614,845,937.10

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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.