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Finding the Fourth Proportional to 650,608,524,000.10, 975,912,786,000.15 and 650,608,524,000.10

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Solution

The fourth proportional to 650,608,524,000.10, 975,912,786,000.15 and 650,608,524,000.10 is: 975,912,786,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,608,524,000.10 : 975,912,786,000.15 = 650,608,524,000.10 : x
  2. Step 2: Convert to fraction form
    650,608,524,000.10/975,912,786,000.15 = 650,608,524,000.10/x
  3. Step 3: Cross multiply
    650,608,524,000.10x = 975,912,786,000.15 × 650,608,524,000.10
  4. Step 4: Simplify right side
    650,608,524,000.10x = 634,937,177,252,382,973,624,320
  5. Step 5: Solve for x
    x = 634,937,177,252,382,973,624,320/650,608,524,000.10
  6. Step 6: Final answer
    x = 975,912,786,000.15

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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.