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Finding the Fourth Proportional to 245,165,345,115.20, 367,748,017,672.80 and 245,165,345,115.20

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Solution

The fourth proportional to 245,165,345,115.20, 367,748,017,672.80 and 245,165,345,115.20 is: 367,748,017,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,165,345,115.20 : 367,748,017,672.80 = 245,165,345,115.20 : x
  2. Step 2: Convert to fraction form
    245,165,345,115.20/367,748,017,672.80 = 245,165,345,115.20/x
  3. Step 3: Cross multiply
    245,165,345,115.20x = 367,748,017,672.80 × 245,165,345,115.20
  4. Step 4: Simplify right side
    245,165,345,115.20x = 90,159,069,668,182,677,520,384
  5. Step 5: Solve for x
    x = 90,159,069,668,182,677,520,384/245,165,345,115.20
  6. Step 6: Final answer
    x = 367,748,017,672.80

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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.