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Finding the Fourth Proportional to 24,865,643,540.70, 37,298,465,311.05 and 24,865,643,540.70

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Solution

The fourth proportional to 24,865,643,540.70, 37,298,465,311.05 and 24,865,643,540.70 is: 37,298,465,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865,643,540.70 : 37,298,465,311.05 = 24,865,643,540.70 : x
  2. Step 2: Convert to fraction form
    24,865,643,540.70/37,298,465,311.05 = 24,865,643,540.70/x
  3. Step 3: Cross multiply
    24,865,643,540.70x = 37,298,465,311.05 × 24,865,643,540.70
  4. Step 4: Simplify right side
    24,865,643,540.70x = 927,450,343,039,733,596,160
  5. Step 5: Solve for x
    x = 927,450,343,039,733,596,160/24,865,643,540.70
  6. Step 6: Final answer
    x = 37,298,465,311.05

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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.