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Finding the Fourth Proportional to 707,884,025,205.60, 1,061,826,037,808.30 and 707,884,025,205.60

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Solution

The fourth proportional to 707,884,025,205.60, 1,061,826,037,808.30 and 707,884,025,205.60 is: 1,061,826,037,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,884,025,205.60 : 1,061,826,037,808.30 = 707,884,025,205.60 : x
  2. Step 2: Convert to fraction form
    707,884,025,205.60/1,061,826,037,808.30 = 707,884,025,205.60/x
  3. Step 3: Cross multiply
    707,884,025,205.60x = 1,061,826,037,808.30 × 707,884,025,205.60
  4. Step 4: Simplify right side
    707,884,025,205.60x = 751,649,689,711,853,011,206,144
  5. Step 5: Solve for x
    x = 751,649,689,711,853,011,206,144/707,884,025,205.60
  6. Step 6: Final answer
    x = 1,061,826,037,808.30

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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.