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Finding the Fourth Proportional to 710,270,896,537.30, 1,065,406,344,806 and 710,270,896,537.30

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Solution

The fourth proportional to 710,270,896,537.30, 1,065,406,344,806 and 710,270,896,537.30 is: 1,065,406,344,806

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,270,896,537.30 : 1,065,406,344,806 = 710,270,896,537.30 : x
  2. Step 2: Convert to fraction form
    710,270,896,537.30/1,065,406,344,806 = 710,270,896,537.30/x
  3. Step 3: Cross multiply
    710,270,896,537.30x = 1,065,406,344,806 × 710,270,896,537.30
  4. Step 4: Simplify right side
    710,270,896,537.30x = 756,727,119,701,885,472,210,944
  5. Step 5: Solve for x
    x = 756,727,119,701,885,472,210,944/710,270,896,537.30
  6. Step 6: Final answer
    x = 1,065,406,344,806

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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.