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Finding the Fourth Proportional to 981,356,033.60, 1,470,783,669.60 and 521,514,497.60

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Solution

The fourth proportional to 981,356,033.60, 1,470,783,669.60 and 521,514,497.60 is: 781,607,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,356,033.60 : 1,470,783,669.60 = 521,514,497.60 : x
  2. Step 2: Convert to fraction form
    981,356,033.60/1,470,783,669.60 = 521,514,497.60/x
  3. Step 3: Cross multiply
    981,356,033.60x = 1,470,783,669.60 × 521,514,497.60
  4. Step 4: Simplify right side
    981,356,033.60x = 767,035,006,529,728,384
  5. Step 5: Solve for x
    x = 767,035,006,529,728,384/981,356,033.60
  6. Step 6: Final answer
    x = 781,607,266.14

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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.