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Finding the Fourth Proportional to 49,896,985.80, 74,845,478.70 and 49,896,985.80

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Solution

The fourth proportional to 49,896,985.80, 74,845,478.70 and 49,896,985.80 is: 74,845,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896,985.80 : 74,845,478.70 = 49,896,985.80 : x
  2. Step 2: Convert to fraction form
    49,896,985.80/74,845,478.70 = 49,896,985.80/x
  3. Step 3: Cross multiply
    49,896,985.80x = 74,845,478.70 × 49,896,985.80
  4. Step 4: Simplify right side
    49,896,985.80x = 3,734,563,787,888,102.50
  5. Step 5: Solve for x
    x = 3,734,563,787,888,102.50/49,896,985.80
  6. Step 6: Final answer
    x = 74,845,478.70

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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.