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Finding the Fourth Proportional to 726,859,785.60, 1,090,289,678.40 and 654,300,374.40

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Solution

The fourth proportional to 726,859,785.60, 1,090,289,678.40 and 654,300,374.40 is: 981,450,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,859,785.60 : 1,090,289,678.40 = 654,300,374.40 : x
  2. Step 2: Convert to fraction form
    726,859,785.60/1,090,289,678.40 = 654,300,374.40/x
  3. Step 3: Cross multiply
    726,859,785.60x = 1,090,289,678.40 × 654,300,374.40
  4. Step 4: Simplify right side
    726,859,785.60x = 713,376,944,781,575,680
  5. Step 5: Solve for x
    x = 713,376,944,781,575,680/726,859,785.60
  6. Step 6: Final answer
    x = 981,450,561.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.