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Finding the Fourth Proportional to 708,589,601.10, 1,060,971,214.05 and 708,589,601.10

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Solution

The fourth proportional to 708,589,601.10, 1,060,971,214.05 and 708,589,601.10 is: 1,060,971,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,589,601.10 : 1,060,971,214.05 = 708,589,601.10 : x
  2. Step 2: Convert to fraction form
    708,589,601.10/1,060,971,214.05 = 708,589,601.10/x
  3. Step 3: Cross multiply
    708,589,601.10x = 1,060,971,214.05 × 708,589,601.10
  4. Step 4: Simplify right side
    708,589,601.10x = 751,793,169,342,272,256
  5. Step 5: Solve for x
    x = 751,793,169,342,272,256/708,589,601.10
  6. Step 6: Final answer
    x = 1,060,971,214.05

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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.