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Finding the Fourth Proportional to 278,642,214.60, 417,963,321.90 and 149,502,051.60

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Solution

The fourth proportional to 278,642,214.60, 417,963,321.90 and 149,502,051.60 is: 224,253,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,642,214.60 : 417,963,321.90 = 149,502,051.60 : x
  2. Step 2: Convert to fraction form
    278,642,214.60/417,963,321.90 = 149,502,051.60/x
  3. Step 3: Cross multiply
    278,642,214.60x = 417,963,321.90 × 149,502,051.60
  4. Step 4: Simplify right side
    278,642,214.60x = 62,486,374,117,601,200
  5. Step 5: Solve for x
    x = 62,486,374,117,601,200/278,642,214.60
  6. Step 6: Final answer
    x = 224,253,077.40

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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.