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Finding the Fourth Proportional to 459,769,889.60, 689,654,834.40 and 409,885,294.40

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Solution

The fourth proportional to 459,769,889.60, 689,654,834.40 and 409,885,294.40 is: 614,827,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,769,889.60 : 689,654,834.40 = 409,885,294.40 : x
  2. Step 2: Convert to fraction form
    459,769,889.60/689,654,834.40 = 409,885,294.40/x
  3. Step 3: Cross multiply
    459,769,889.60x = 689,654,834.40 × 409,885,294.40
  4. Step 4: Simplify right side
    459,769,889.60x = 282,679,374,832,427,232
  5. Step 5: Solve for x
    x = 282,679,374,832,427,232/459,769,889.60
  6. Step 6: Final answer
    x = 614,827,941.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.