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Finding the Fourth Proportional to 30,708,214,200.90, 46,062,321,301.35 and 30,708,214,200.90

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Solution

The fourth proportional to 30,708,214,200.90, 46,062,321,301.35 and 30,708,214,200.90 is: 46,062,321,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708,214,200.90 : 46,062,321,301.35 = 30,708,214,200.90 : x
  2. Step 2: Convert to fraction form
    30,708,214,200.90/46,062,321,301.35 = 30,708,214,200.90/x
  3. Step 3: Cross multiply
    30,708,214,200.90x = 46,062,321,301.35 × 30,708,214,200.90
  4. Step 4: Simplify right side
    30,708,214,200.90x = 1,414,491,629,112,534,761,472
  5. Step 5: Solve for x
    x = 1,414,491,629,112,534,761,472/30,708,214,200.90
  6. Step 6: Final answer
    x = 46,062,321,301.35

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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.