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Finding the Fourth Proportional to 42,340,242,908.80, 63,510,364,363.20 and 42,340,242,908.80

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Solution

The fourth proportional to 42,340,242,908.80, 63,510,364,363.20 and 42,340,242,908.80 is: 63,510,364,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,340,242,908.80 : 63,510,364,363.20 = 42,340,242,908.80 : x
  2. Step 2: Convert to fraction form
    42,340,242,908.80/63,510,364,363.20 = 42,340,242,908.80/x
  3. Step 3: Cross multiply
    42,340,242,908.80x = 63,510,364,363.20 × 42,340,242,908.80
  4. Step 4: Simplify right side
    42,340,242,908.80x = 2,689,044,254,364,283,174,912
  5. Step 5: Solve for x
    x = 2,689,044,254,364,283,174,912/42,340,242,908.80
  6. Step 6: Final answer
    x = 63,510,364,363.20

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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.