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Finding the Fourth Proportional to 560,097,906.45, 840,146,859.68 and 560,097,906.45

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Solution

The fourth proportional to 560,097,906.45, 840,146,859.68 and 560,097,906.45 is: 840,146,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,097,906.45 : 840,146,859.68 = 560,097,906.45 : x
  2. Step 2: Convert to fraction form
    560,097,906.45/840,146,859.68 = 560,097,906.45/x
  3. Step 3: Cross multiply
    560,097,906.45x = 840,146,859.68 × 560,097,906.45
  4. Step 4: Simplify right side
    560,097,906.45x = 470,564,497,214,509,440
  5. Step 5: Solve for x
    x = 470,564,497,214,509,440/560,097,906.45
  6. Step 6: Final answer
    x = 840,146,859.68

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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.