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Finding the Fourth Proportional to 710,270,896,608.80, 1,065,406,344,913.20 and 710,270,896,608.80

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Solution

The fourth proportional to 710,270,896,608.80, 1,065,406,344,913.20 and 710,270,896,608.80 is: 1,065,406,344,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,270,896,608.80 : 1,065,406,344,913.20 = 710,270,896,608.80 : x
  2. Step 2: Convert to fraction form
    710,270,896,608.80/1,065,406,344,913.20 = 710,270,896,608.80/x
  3. Step 3: Cross multiply
    710,270,896,608.80x = 1,065,406,344,913.20 × 710,270,896,608.80
  4. Step 4: Simplify right side
    710,270,896,608.80x = 756,727,119,854,202,997,702,656
  5. Step 5: Solve for x
    x = 756,727,119,854,202,997,702,656/710,270,896,608.80
  6. Step 6: Final answer
    x = 1,065,406,344,913.20

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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.