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Finding the Fourth Proportional to 32,291,103,638.95, 48,436,655,458.43 and 32,291,103,638.95

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Solution

The fourth proportional to 32,291,103,638.95, 48,436,655,458.43 and 32,291,103,638.95 is: 48,436,655,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291,103,638.95 : 48,436,655,458.43 = 32,291,103,638.95 : x
  2. Step 2: Convert to fraction form
    32,291,103,638.95/48,436,655,458.43 = 32,291,103,638.95/x
  3. Step 3: Cross multiply
    32,291,103,638.95x = 48,436,655,458.43 × 32,291,103,638.95
  4. Step 4: Simplify right side
    32,291,103,638.95x = 1,564,073,061,332,276,477,952
  5. Step 5: Solve for x
    x = 1,564,073,061,332,276,477,952/32,291,103,638.95
  6. Step 6: Final answer
    x = 48,436,655,458.43

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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.