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Finding the Fourth Proportional to 38,473,715,098.80, 57,618,739,643.40 and 38,473,715,098.80

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Solution

The fourth proportional to 38,473,715,098.80, 57,618,739,643.40 and 38,473,715,098.80 is: 57,618,739,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473,715,098.80 : 57,618,739,643.40 = 38,473,715,098.80 : x
  2. Step 2: Convert to fraction form
    38,473,715,098.80/57,618,739,643.40 = 38,473,715,098.80/x
  3. Step 3: Cross multiply
    38,473,715,098.80x = 57,618,739,643.40 × 38,473,715,098.80
  4. Step 4: Simplify right side
    38,473,715,098.80x = 2,216,806,973,392,104,980,480
  5. Step 5: Solve for x
    x = 2,216,806,973,392,104,980,480/38,473,715,098.80
  6. Step 6: Final answer
    x = 57,618,739,643.40

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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.