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Finding the Fourth Proportional to 266,269,323.60, 399,403,985.40 and 256,065,656.40

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Solution

The fourth proportional to 266,269,323.60, 399,403,985.40 and 256,065,656.40 is: 384,098,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,269,323.60 : 399,403,985.40 = 256,065,656.40 : x
  2. Step 2: Convert to fraction form
    266,269,323.60/399,403,985.40 = 256,065,656.40/x
  3. Step 3: Cross multiply
    266,269,323.60x = 399,403,985.40 × 256,065,656.40
  4. Step 4: Simplify right side
    266,269,323.60x = 102,273,643,690,227,008
  5. Step 5: Solve for x
    x = 102,273,643,690,227,008/266,269,323.60
  6. Step 6: Final answer
    x = 384,098,484.60

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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.