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Finding the Fourth Proportional to 560,097,713.70, 840,146,570.55 and 560,097,713.70

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Solution

The fourth proportional to 560,097,713.70, 840,146,570.55 and 560,097,713.70 is: 840,146,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,097,713.70 : 840,146,570.55 = 560,097,713.70 : x
  2. Step 2: Convert to fraction form
    560,097,713.70/840,146,570.55 = 560,097,713.70/x
  3. Step 3: Cross multiply
    560,097,713.70x = 840,146,570.55 × 560,097,713.70
  4. Step 4: Simplify right side
    560,097,713.70x = 470,564,173,337,950,784
  5. Step 5: Solve for x
    x = 470,564,173,337,950,784/560,097,713.70
  6. Step 6: Final answer
    x = 840,146,570.55

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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.