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Finding the Fourth Proportional to 647,356,187.70, 971,034,281.55 and 647,356,187.70

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Solution

The fourth proportional to 647,356,187.70, 971,034,281.55 and 647,356,187.70 is: 971,034,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,356,187.70 : 971,034,281.55 = 647,356,187.70 : x
  2. Step 2: Convert to fraction form
    647,356,187.70/971,034,281.55 = 647,356,187.70/x
  3. Step 3: Cross multiply
    647,356,187.70x = 971,034,281.55 × 647,356,187.70
  4. Step 4: Simplify right side
    647,356,187.70x = 628,605,050,630,216,448
  5. Step 5: Solve for x
    x = 628,605,050,630,216,448/647,356,187.70
  6. Step 6: Final answer
    x = 971,034,281.55

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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.