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Finding the Fourth Proportional to 712,475,999.10, 1,068,713,998.65 and 712,475,999.10

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Solution

The fourth proportional to 712,475,999.10, 1,068,713,998.65 and 712,475,999.10 is: 1,068,713,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,475,999.10 : 1,068,713,998.65 = 712,475,999.10 : x
  2. Step 2: Convert to fraction form
    712,475,999.10/1,068,713,998.65 = 712,475,999.10/x
  3. Step 3: Cross multiply
    712,475,999.10x = 1,068,713,998.65 × 712,475,999.10
  4. Step 4: Simplify right side
    712,475,999.10x = 761,433,073,940,314,752
  5. Step 5: Solve for x
    x = 761,433,073,940,314,752/712,475,999.10
  6. Step 6: Final answer
    x = 1,068,713,998.65

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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.