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Finding the Fourth Proportional to 99,102,002.35, 148,653,003.53 and 99,102,002.35

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Solution

The fourth proportional to 99,102,002.35, 148,653,003.53 and 99,102,002.35 is: 148,653,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,102,002.35 : 148,653,003.53 = 99,102,002.35 : x
  2. Step 2: Convert to fraction form
    99,102,002.35/148,653,003.53 = 99,102,002.35/x
  3. Step 3: Cross multiply
    99,102,002.35x = 148,653,003.53 × 99,102,002.35
  4. Step 4: Simplify right side
    99,102,002.35x = 14,731,810,305,164,618
  5. Step 5: Solve for x
    x = 14,731,810,305,164,618/99,102,002.35
  6. Step 6: Final answer
    x = 148,653,003.53

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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.