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Finding the Fourth Proportional to 32,595,156,744.95, 48,892,735,117.43 and 32,595,156,744.95

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Solution

The fourth proportional to 32,595,156,744.95, 48,892,735,117.43 and 32,595,156,744.95 is: 48,892,735,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595,156,744.95 : 48,892,735,117.43 = 32,595,156,744.95 : x
  2. Step 2: Convert to fraction form
    32,595,156,744.95/48,892,735,117.43 = 32,595,156,744.95/x
  3. Step 3: Cross multiply
    32,595,156,744.95x = 48,892,735,117.43 × 32,595,156,744.95
  4. Step 4: Simplify right side
    32,595,156,744.95x = 1,593,666,364,841,952,280,576
  5. Step 5: Solve for x
    x = 1,593,666,364,841,952,280,576/32,595,156,744.95
  6. Step 6: Final answer
    x = 48,892,735,117.43

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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.