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Finding the Fourth Proportional to 10,830,048.10, 16,221,452.55 and 10,830,048.10

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Solution

The fourth proportional to 10,830,048.10, 16,221,452.55 and 10,830,048.10 is: 16,221,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830,048.10 : 16,221,452.55 = 10,830,048.10 : x
  2. Step 2: Convert to fraction form
    10,830,048.10/16,221,452.55 = 10,830,048.10/x
  3. Step 3: Cross multiply
    10,830,048.10x = 16,221,452.55 × 10,830,048.10
  4. Step 4: Simplify right side
    10,830,048.10x = 175,679,111,368,367.66
  5. Step 5: Solve for x
    x = 175,679,111,368,367.66/10,830,048.10
  6. Step 6: Final answer
    x = 16,221,452.55

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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.