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Finding the Fourth Proportional to 459,777,095.60, 689,665,643.40 and 409,892,500.40

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Solution

The fourth proportional to 459,777,095.60, 689,665,643.40 and 409,892,500.40 is: 614,838,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,777,095.60 : 689,665,643.40 = 409,892,500.40 : x
  2. Step 2: Convert to fraction form
    459,777,095.60/689,665,643.40 = 409,892,500.40/x
  3. Step 3: Cross multiply
    459,777,095.60x = 689,665,643.40 × 409,892,500.40
  4. Step 4: Simplify right side
    459,777,095.60x = 282,688,775,013,200,736
  5. Step 5: Solve for x
    x = 282,688,775,013,200,736/459,777,095.60
  6. Step 6: Final answer
    x = 614,838,750.60

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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.