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Finding the Fourth Proportional to 18,549,773,742.30, 27,824,660,613.45 and 18,549,773,742.30

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Solution

The fourth proportional to 18,549,773,742.30, 27,824,660,613.45 and 18,549,773,742.30 is: 27,824,660,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549,773,742.30 : 27,824,660,613.45 = 18,549,773,742.30 : x
  2. Step 2: Convert to fraction form
    18,549,773,742.30/27,824,660,613.45 = 18,549,773,742.30/x
  3. Step 3: Cross multiply
    18,549,773,742.30x = 27,824,660,613.45 × 18,549,773,742.30
  4. Step 4: Simplify right side
    18,549,773,742.30x = 516,141,158,835,783,794,688
  5. Step 5: Solve for x
    x = 516,141,158,835,783,794,688/18,549,773,742.30
  6. Step 6: Final answer
    x = 27,824,660,613.45

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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.