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Finding the Fourth Proportional to 71,692,334,429.85, 107,538,501,644.77 and 71,692,334,429.85

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Solution

The fourth proportional to 71,692,334,429.85, 107,538,501,644.77 and 71,692,334,429.85 is: 107,538,501,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692,334,429.85 : 107,538,501,644.77 = 71,692,334,429.85 : x
  2. Step 2: Convert to fraction form
    71,692,334,429.85/107,538,501,644.77 = 71,692,334,429.85/x
  3. Step 3: Cross multiply
    71,692,334,429.85x = 107,538,501,644.77 × 71,692,334,429.85
  4. Step 4: Simplify right side
    71,692,334,429.85x = 7,709,686,224,001,825,767,424
  5. Step 5: Solve for x
    x = 7,709,686,224,001,825,767,424/71,692,334,429.85
  6. Step 6: Final answer
    x = 107,538,501,644.77

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1.5x scale

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.