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Finding the Fourth Proportional to 808,339,746.24, 1,115,502,358.32 and 469,279,686.24

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Solution

The fourth proportional to 808,339,746.24, 1,115,502,358.32 and 469,279,686.24 is: 647,602,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,339,746.24 : 1,115,502,358.32 = 469,279,686.24 : x
  2. Step 2: Convert to fraction form
    808,339,746.24/1,115,502,358.32 = 469,279,686.24/x
  3. Step 3: Cross multiply
    808,339,746.24x = 1,115,502,358.32 × 469,279,686.24
  4. Step 4: Simplify right side
    808,339,746.24x = 523,482,596,712,389,632
  5. Step 5: Solve for x
    x = 523,482,596,712,389,632/808,339,746.24
  6. Step 6: Final answer
    x = 647,602,198.39

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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.