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Finding the Fourth Proportional to 706,367,889,272.70, 1,059,551,833,909.10 and 706,367,889,272.70

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Solution

The fourth proportional to 706,367,889,272.70, 1,059,551,833,909.10 and 706,367,889,272.70 is: 1,059,551,833,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,367,889,272.70 : 1,059,551,833,909.10 = 706,367,889,272.70 : x
  2. Step 2: Convert to fraction form
    706,367,889,272.70/1,059,551,833,909.10 = 706,367,889,272.70/x
  3. Step 3: Cross multiply
    706,367,889,272.70x = 1,059,551,833,909.10 × 706,367,889,272.70
  4. Step 4: Simplify right side
    706,367,889,272.70x = 748,433,392,493,389,273,890,816
  5. Step 5: Solve for x
    x = 748,433,392,493,389,273,890,816/706,367,889,272.70
  6. Step 6: Final answer
    x = 1,059,551,833,909.10

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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.