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Finding the Fourth Proportional to 32,595,732,943.80, 48,893,599,415.70 and 32,595,732,943.80

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Solution

The fourth proportional to 32,595,732,943.80, 48,893,599,415.70 and 32,595,732,943.80 is: 48,893,599,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595,732,943.80 : 48,893,599,415.70 = 32,595,732,943.80 : x
  2. Step 2: Convert to fraction form
    32,595,732,943.80/48,893,599,415.70 = 32,595,732,943.80/x
  3. Step 3: Cross multiply
    32,595,732,943.80x = 48,893,599,415.70 × 32,595,732,943.80
  4. Step 4: Simplify right side
    32,595,732,943.80x = 1,593,722,709,215,292,686,336
  5. Step 5: Solve for x
    x = 1,593,722,709,215,292,686,336/32,595,732,943.80
  6. Step 6: Final answer
    x = 48,893,599,415.70

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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.