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Finding the Fourth Proportional to 103,442,912,999.33, 155,164,369,498.99 and 103,442,912,999.33

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Solution

The fourth proportional to 103,442,912,999.33, 155,164,369,498.99 and 103,442,912,999.33 is: 155,164,369,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,442,912,999.33 : 155,164,369,498.99 = 103,442,912,999.33 : x
  2. Step 2: Convert to fraction form
    103,442,912,999.33/155,164,369,498.99 = 103,442,912,999.33/x
  3. Step 3: Cross multiply
    103,442,912,999.33x = 155,164,369,498.99 × 103,442,912,999.33
  4. Step 4: Simplify right side
    103,442,912,999.33x = 16,050,654,374,679,915,003,904
  5. Step 5: Solve for x
    x = 16,050,654,374,679,915,003,904/103,442,912,999.33
  6. Step 6: Final answer
    x = 155,164,369,498.99

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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.