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Finding the Fourth Proportional to 712,476,026.85, 1,068,714,040.28 and 712,476,026.85

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Solution

The fourth proportional to 712,476,026.85, 1,068,714,040.28 and 712,476,026.85 is: 1,068,714,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,476,026.85 : 1,068,714,040.28 = 712,476,026.85 : x
  2. Step 2: Convert to fraction form
    712,476,026.85/1,068,714,040.28 = 712,476,026.85/x
  3. Step 3: Cross multiply
    712,476,026.85x = 1,068,714,040.28 × 712,476,026.85
  4. Step 4: Simplify right side
    712,476,026.85x = 761,433,133,253,942,912
  5. Step 5: Solve for x
    x = 761,433,133,253,942,912/712,476,026.85
  6. Step 6: Final answer
    x = 1,068,714,040.28

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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.