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Finding the Fourth Proportional to 619,381,315,000.10, 929,071,972,500.15 and 619,381,315,000.10

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Solution

The fourth proportional to 619,381,315,000.10, 929,071,972,500.15 and 619,381,315,000.10 is: 929,071,972,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,381,315,000.10 : 929,071,972,500.15 = 619,381,315,000.10 : x
  2. Step 2: Convert to fraction form
    619,381,315,000.10/929,071,972,500.15 = 619,381,315,000.10/x
  3. Step 3: Cross multiply
    619,381,315,000.10x = 929,071,972,500.15 × 619,381,315,000.10
  4. Step 4: Simplify right side
    619,381,315,000.10x = 575,449,820,056,879,668,133,888
  5. Step 5: Solve for x
    x = 575,449,820,056,879,668,133,888/619,381,315,000.10
  6. Step 6: Final answer
    x = 929,071,972,500.15

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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.