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Finding the Fourth Proportional to 102,413,616.35, 153,620,424.53 and 102,413,616.35

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Solution

The fourth proportional to 102,413,616.35, 153,620,424.53 and 102,413,616.35 is: 153,620,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,413,616.35 : 153,620,424.53 = 102,413,616.35 : x
  2. Step 2: Convert to fraction form
    102,413,616.35/153,620,424.53 = 102,413,616.35/x
  3. Step 3: Cross multiply
    102,413,616.35x = 153,620,424.53 × 102,413,616.35
  4. Step 4: Simplify right side
    102,413,616.35x = 15,732,823,220,827,480
  5. Step 5: Solve for x
    x = 15,732,823,220,827,480/102,413,616.35
  6. Step 6: Final answer
    x = 153,620,424.53

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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.