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Finding the Fourth Proportional to 930,854,656,822.65, 1,396,281,985,233.90 and 930,854,656,822.65

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Solution

The fourth proportional to 930,854,656,822.65, 1,396,281,985,233.90 and 930,854,656,822.65 is: 1,396,281,985,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,854,656,822.65 : 1,396,281,985,233.90 = 930,854,656,822.65 : x
  2. Step 2: Convert to fraction form
    930,854,656,822.65/1,396,281,985,233.90 = 930,854,656,822.65/x
  3. Step 3: Cross multiply
    930,854,656,822.65x = 1,396,281,985,233.90 × 930,854,656,822.65
  4. Step 4: Simplify right side
    930,854,656,822.65x = 1,299,735,588,192,550,263,980,032
  5. Step 5: Solve for x
    x = 1,299,735,588,192,550,263,980,032/930,854,656,822.65
  6. Step 6: Final answer
    x = 1,396,281,985,233.90

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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.