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Finding the Fourth Proportional to 42,344,144,429.60, 63,516,216,644.40 and 42,344,144,429.60

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Solution

The fourth proportional to 42,344,144,429.60, 63,516,216,644.40 and 42,344,144,429.60 is: 63,516,216,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,344,144,429.60 : 63,516,216,644.40 = 42,344,144,429.60 : x
  2. Step 2: Convert to fraction form
    42,344,144,429.60/63,516,216,644.40 = 42,344,144,429.60/x
  3. Step 3: Cross multiply
    42,344,144,429.60x = 63,516,216,644.40 × 42,344,144,429.60
  4. Step 4: Simplify right side
    42,344,144,429.60x = 2,689,539,851,212,237,045,760
  5. Step 5: Solve for x
    x = 2,689,539,851,212,237,045,760/42,344,144,429.60
  6. Step 6: Final answer
    x = 63,516,216,644.40

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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.