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Finding the Fourth Proportional to 32,976,911,381.70, 49,465,367,072.55 and 32,976,911,381.70

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Solution

The fourth proportional to 32,976,911,381.70, 49,465,367,072.55 and 32,976,911,381.70 is: 49,465,367,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976,911,381.70 : 49,465,367,072.55 = 32,976,911,381.70 : x
  2. Step 2: Convert to fraction form
    32,976,911,381.70/49,465,367,072.55 = 32,976,911,381.70/x
  3. Step 3: Cross multiply
    32,976,911,381.70x = 49,465,367,072.55 × 32,976,911,381.70
  4. Step 4: Simplify right side
    32,976,911,381.70x = 1,631,215,026,414,742,667,264
  5. Step 5: Solve for x
    x = 1,631,215,026,414,742,667,264/32,976,911,381.70
  6. Step 6: Final answer
    x = 49,465,367,072.55

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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.