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Finding the Fourth Proportional to 930,854,656,851.90, 1,396,281,985,277.90 and 930,854,656,851.90

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Solution

The fourth proportional to 930,854,656,851.90, 1,396,281,985,277.90 and 930,854,656,851.90 is: 1,396,281,985,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,854,656,851.90 : 1,396,281,985,277.90 = 930,854,656,851.90 : x
  2. Step 2: Convert to fraction form
    930,854,656,851.90/1,396,281,985,277.90 = 930,854,656,851.90/x
  3. Step 3: Cross multiply
    930,854,656,851.90x = 1,396,281,985,277.90 × 930,854,656,851.90
  4. Step 4: Simplify right side
    930,854,656,851.90x = 1,299,735,588,274,349,258,309,632
  5. Step 5: Solve for x
    x = 1,299,735,588,274,349,258,309,632/930,854,656,851.90
  6. Step 6: Final answer
    x = 1,396,281,985,277.90

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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.