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Finding the Fourth Proportional to 560,097,913.45, 840,146,870.18 and 560,097,913.45

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Solution

The fourth proportional to 560,097,913.45, 840,146,870.18 and 560,097,913.45 is: 840,146,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,097,913.45 : 840,146,870.18 = 560,097,913.45 : x
  2. Step 2: Convert to fraction form
    560,097,913.45/840,146,870.18 = 560,097,913.45/x
  3. Step 3: Cross multiply
    560,097,913.45x = 840,146,870.18 × 560,097,913.45
  4. Step 4: Simplify right side
    560,097,913.45x = 470,564,508,979,366,016
  5. Step 5: Solve for x
    x = 470,564,508,979,366,016/560,097,913.45
  6. Step 6: Final answer
    x = 840,146,870.18

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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.