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Finding the Fourth Proportional to 562,464,251.70, 785,635,967.10 and 562,464,251.70

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Solution

The fourth proportional to 562,464,251.70, 785,635,967.10 and 562,464,251.70 is: 785,635,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,464,251.70 : 785,635,967.10 = 562,464,251.70 : x
  2. Step 2: Convert to fraction form
    562,464,251.70/785,635,967.10 = 562,464,251.70/x
  3. Step 3: Cross multiply
    562,464,251.70x = 785,635,967.10 × 562,464,251.70
  4. Step 4: Simplify right side
    562,464,251.70x = 441,892,146,343,507,392
  5. Step 5: Solve for x
    x = 441,892,146,343,507,392/562,464,251.70
  6. Step 6: Final answer
    x = 785,635,967.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.