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Finding the Fourth Proportional to 489,909,686.50, 676,074,183.65 and 266,893,200.74

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Solution

The fourth proportional to 489,909,686.50, 676,074,183.65 and 266,893,200.74 is: 368,311,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,909,686.50 : 676,074,183.65 = 266,893,200.74 : x
  2. Step 2: Convert to fraction form
    489,909,686.50/676,074,183.65 = 266,893,200.74/x
  3. Step 3: Cross multiply
    489,909,686.50x = 676,074,183.65 × 266,893,200.74
  4. Step 4: Simplify right side
    489,909,686.50x = 180,439,602,809,317,952
  5. Step 5: Solve for x
    x = 180,439,602,809,317,952/489,909,686.50
  6. Step 6: Final answer
    x = 368,311,972.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.