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Finding the Fourth Proportional to 71,287,671,642.30, 106,931,507,463.45 and 71,287,671,642.30

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Solution

The fourth proportional to 71,287,671,642.30, 106,931,507,463.45 and 71,287,671,642.30 is: 106,931,507,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,287,671,642.30 : 106,931,507,463.45 = 71,287,671,642.30 : x
  2. Step 2: Convert to fraction form
    71,287,671,642.30/106,931,507,463.45 = 71,287,671,642.30/x
  3. Step 3: Cross multiply
    71,287,671,642.30x = 106,931,507,463.45 × 71,287,671,642.30
  4. Step 4: Simplify right side
    71,287,671,642.30x = 7,622,898,192,270,575,534,080
  5. Step 5: Solve for x
    x = 7,622,898,192,270,575,534,080/71,287,671,642.30
  6. Step 6: Final answer
    x = 106,931,507,463.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.