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Finding the Fourth Proportional to 71,287,671,615.30, 106,931,507,422.95 and 71,287,671,615.30

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Solution

The fourth proportional to 71,287,671,615.30, 106,931,507,422.95 and 71,287,671,615.30 is: 106,931,507,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,287,671,615.30 : 106,931,507,422.95 = 71,287,671,615.30 : x
  2. Step 2: Convert to fraction form
    71,287,671,615.30/106,931,507,422.95 = 71,287,671,615.30/x
  3. Step 3: Cross multiply
    71,287,671,615.30x = 106,931,507,422.95 × 71,287,671,615.30
  4. Step 4: Simplify right side
    71,287,671,615.30x = 7,622,898,186,496,274,071,552
  5. Step 5: Solve for x
    x = 7,622,898,186,496,274,071,552/71,287,671,615.30
  6. Step 6: Final answer
    x = 106,931,507,422.95

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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.