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Finding the Fourth Proportional to 12,366,594,124.20, 18,549,891,186.30 and 12,366,594,124.20

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Solution

The fourth proportional to 12,366,594,124.20, 18,549,891,186.30 and 12,366,594,124.20 is: 18,549,891,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366,594,124.20 : 18,549,891,186.30 = 12,366,594,124.20 : x
  2. Step 2: Convert to fraction form
    12,366,594,124.20/18,549,891,186.30 = 12,366,594,124.20/x
  3. Step 3: Cross multiply
    12,366,594,124.20x = 18,549,891,186.30 × 12,366,594,124.20
  4. Step 4: Simplify right side
    12,366,594,124.20x = 229,398,975,349,046,968,320
  5. Step 5: Solve for x
    x = 229,398,975,349,046,968,320/12,366,594,124.20
  6. Step 6: Final answer
    x = 18,549,891,186.30

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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.