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Finding the Fourth Proportional to 99,111,101.60, 148,666,652.40 and 99,111,101.60

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Solution

The fourth proportional to 99,111,101.60, 148,666,652.40 and 99,111,101.60 is: 148,666,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,111,101.60 : 148,666,652.40 = 99,111,101.60 : x
  2. Step 2: Convert to fraction form
    99,111,101.60/148,666,652.40 = 99,111,101.60/x
  3. Step 3: Cross multiply
    99,111,101.60x = 148,666,652.40 × 99,111,101.60
  4. Step 4: Simplify right side
    99,111,101.60x = 14,734,515,690,548,284
  5. Step 5: Solve for x
    x = 14,734,515,690,548,284/99,111,101.60
  6. Step 6: Final answer
    x = 148,666,652.40

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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.