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Finding the Fourth Proportional to 782,822,509.16, 1,080,231,169.68 and 460,899,663.03

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Solution

The fourth proportional to 782,822,509.16, 1,080,231,169.68 and 460,899,663.03 is: 636,003,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,822,509.16 : 1,080,231,169.68 = 460,899,663.03 : x
  2. Step 2: Convert to fraction form
    782,822,509.16/1,080,231,169.68 = 460,899,663.03/x
  3. Step 3: Cross multiply
    782,822,509.16x = 1,080,231,169.68 × 460,899,663.03
  4. Step 4: Simplify right side
    782,822,509.16x = 497,878,182,100,014,784
  5. Step 5: Solve for x
    x = 497,878,182,100,014,784/782,822,509.16
  6. Step 6: Final answer
    x = 636,003,916.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.