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Finding the Fourth Proportional to 898,153,721.60, 1,347,230,582.40 and 509,826,502.40

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Solution

The fourth proportional to 898,153,721.60, 1,347,230,582.40 and 509,826,502.40 is: 764,739,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,153,721.60 : 1,347,230,582.40 = 509,826,502.40 : x
  2. Step 2: Convert to fraction form
    898,153,721.60/1,347,230,582.40 = 509,826,502.40/x
  3. Step 3: Cross multiply
    898,153,721.60x = 1,347,230,582.40 × 509,826,502.40
  4. Step 4: Simplify right side
    898,153,721.60x = 686,853,855,751,307,008
  5. Step 5: Solve for x
    x = 686,853,855,751,307,008/898,153,721.60
  6. Step 6: Final answer
    x = 764,739,753.60

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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.