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Finding the Fourth Proportional to 129,890,314,643.60, 194,835,471,965.40 and 129,890,314,643.60

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Solution

The fourth proportional to 129,890,314,643.60, 194,835,471,965.40 and 129,890,314,643.60 is: 194,835,471,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,890,314,643.60 : 194,835,471,965.40 = 129,890,314,643.60 : x
  2. Step 2: Convert to fraction form
    129,890,314,643.60/194,835,471,965.40 = 129,890,314,643.60/x
  3. Step 3: Cross multiply
    129,890,314,643.60x = 194,835,471,965.40 × 129,890,314,643.60
  4. Step 4: Simplify right side
    129,890,314,643.60x = 25,307,240,757,320,113,717,248
  5. Step 5: Solve for x
    x = 25,307,240,757,320,113,717,248/129,890,314,643.60
  6. Step 6: Final answer
    x = 194,835,471,965.40

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Double scale
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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.