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Finding the Fourth Proportional to 40,329,128,029.65, 60,493,692,044.48 and 40,329,128,029.65

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Solution

The fourth proportional to 40,329,128,029.65, 60,493,692,044.48 and 40,329,128,029.65 is: 60,493,692,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,329,128,029.65 : 60,493,692,044.48 = 40,329,128,029.65 : x
  2. Step 2: Convert to fraction form
    40,329,128,029.65/60,493,692,044.48 = 40,329,128,029.65/x
  3. Step 3: Cross multiply
    40,329,128,029.65x = 60,493,692,044.48 × 40,329,128,029.65
  4. Step 4: Simplify right side
    40,329,128,029.65x = 2,439,657,851,447,852,138,496
  5. Step 5: Solve for x
    x = 2,439,657,851,447,852,138,496/40,329,128,029.65
  6. Step 6: Final answer
    x = 60,493,692,044.48

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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.