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Finding the Fourth Proportional to 96,669,176,906.20, 145,003,765,359.30 and 96,669,176,906.20

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Solution

The fourth proportional to 96,669,176,906.20, 145,003,765,359.30 and 96,669,176,906.20 is: 145,003,765,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,669,176,906.20 : 145,003,765,359.30 = 96,669,176,906.20 : x
  2. Step 2: Convert to fraction form
    96,669,176,906.20/145,003,765,359.30 = 96,669,176,906.20/x
  3. Step 3: Cross multiply
    96,669,176,906.20x = 145,003,765,359.30 × 96,669,176,906.20
  4. Step 4: Simplify right side
    96,669,176,906.20x = 14,017,394,645,583,284,666,368
  5. Step 5: Solve for x
    x = 14,017,394,645,583,284,666,368/96,669,176,906.20
  6. Step 6: Final answer
    x = 145,003,765,359.30

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1.5x scale

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.