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Finding the Fourth Proportional to 712,475,999.48, 1,068,713,999.21 and 712,475,999.48

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Solution

The fourth proportional to 712,475,999.48, 1,068,713,999.21 and 712,475,999.48 is: 1,068,713,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,475,999.48 : 1,068,713,999.21 = 712,475,999.48 : x
  2. Step 2: Convert to fraction form
    712,475,999.48/1,068,713,999.21 = 712,475,999.48/x
  3. Step 3: Cross multiply
    712,475,999.48x = 1,068,713,999.21 × 712,475,999.48
  4. Step 4: Simplify right side
    712,475,999.48x = 761,433,074,741,850,368
  5. Step 5: Solve for x
    x = 761,433,074,741,850,368/712,475,999.48
  6. Step 6: Final answer
    x = 1,068,713,999.21

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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.