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Finding the Fourth Proportional to 7,417,296,031.30, 10,399,502,681.90 and 7,417,296,031.30

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Solution

The fourth proportional to 7,417,296,031.30, 10,399,502,681.90 and 7,417,296,031.30 is: 10,399,502,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417,296,031.30 : 10,399,502,681.90 = 7,417,296,031.30 : x
  2. Step 2: Convert to fraction form
    7,417,296,031.30/10,399,502,681.90 = 7,417,296,031.30/x
  3. Step 3: Cross multiply
    7,417,296,031.30x = 10,399,502,681.90 × 7,417,296,031.30
  4. Step 4: Simplify right side
    7,417,296,031.30x = 77,136,189,969,950,572,544
  5. Step 5: Solve for x
    x = 77,136,189,969,950,572,544/7,417,296,031.30
  6. Step 6: Final answer
    x = 10,399,502,681.90

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