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Finding the Fourth Proportional to 180,367,068.30, 270,550,602.45 and 180,367,068.30

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Solution

The fourth proportional to 180,367,068.30, 270,550,602.45 and 180,367,068.30 is: 270,550,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,367,068.30 : 270,550,602.45 = 180,367,068.30 : x
  2. Step 2: Convert to fraction form
    180,367,068.30/270,550,602.45 = 180,367,068.30/x
  3. Step 3: Cross multiply
    180,367,068.30x = 270,550,602.45 × 180,367,068.30
  4. Step 4: Simplify right side
    180,367,068.30x = 48,798,418,990,705,296
  5. Step 5: Solve for x
    x = 48,798,418,990,705,296/180,367,068.30
  6. Step 6: Final answer
    x = 270,550,602.45

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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.