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Finding the Fourth Proportional to 34,776,046,165.70, 52,164,069,248.55 and 34,776,046,165.70

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Solution

The fourth proportional to 34,776,046,165.70, 52,164,069,248.55 and 34,776,046,165.70 is: 52,164,069,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776,046,165.70 : 52,164,069,248.55 = 34,776,046,165.70 : x
  2. Step 2: Convert to fraction form
    34,776,046,165.70/52,164,069,248.55 = 34,776,046,165.70/x
  3. Step 3: Cross multiply
    34,776,046,165.70x = 52,164,069,248.55 × 34,776,046,165.70
  4. Step 4: Simplify right side
    34,776,046,165.70x = 1,814,060,080,378,346,471,424
  5. Step 5: Solve for x
    x = 1,814,060,080,378,346,471,424/34,776,046,165.70
  6. Step 6: Final answer
    x = 52,164,069,248.55

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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.