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Finding the Fourth Proportional to 717,579,623.70, 1,007,332,451.10 and 717,579,623.70

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Solution

The fourth proportional to 717,579,623.70, 1,007,332,451.10 and 717,579,623.70 is: 1,007,332,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,579,623.70 : 1,007,332,451.10 = 717,579,623.70 : x
  2. Step 2: Convert to fraction form
    717,579,623.70/1,007,332,451.10 = 717,579,623.70/x
  3. Step 3: Cross multiply
    717,579,623.70x = 1,007,332,451.10 × 717,579,623.70
  4. Step 4: Simplify right side
    717,579,623.70x = 722,841,241,201,136,768
  5. Step 5: Solve for x
    x = 722,841,241,201,136,768/717,579,623.70
  6. Step 6: Final answer
    x = 1,007,332,451.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.