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Finding the Fourth Proportional to 24,865,643,421.70, 37,298,465,132.56 and 24,865,643,421.70

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Solution

The fourth proportional to 24,865,643,421.70, 37,298,465,132.56 and 24,865,643,421.70 is: 37,298,465,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865,643,421.70 : 37,298,465,132.56 = 24,865,643,421.70 : x
  2. Step 2: Convert to fraction form
    24,865,643,421.70/37,298,465,132.56 = 24,865,643,421.70/x
  3. Step 3: Cross multiply
    24,865,643,421.70x = 37,298,465,132.56 × 24,865,643,421.70
  4. Step 4: Simplify right side
    24,865,643,421.70x = 927,450,334,162,947,407,872
  5. Step 5: Solve for x
    x = 927,450,334,162,947,407,872/24,865,643,421.70
  6. Step 6: Final answer
    x = 37,298,465,132.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.