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Finding the Fourth Proportional to 556,080,809.60, 834,121,214.40 and 147,178,294.40

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Solution

The fourth proportional to 556,080,809.60, 834,121,214.40 and 147,178,294.40 is: 220,767,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,080,809.60 : 834,121,214.40 = 147,178,294.40 : x
  2. Step 2: Convert to fraction form
    556,080,809.60/834,121,214.40 = 147,178,294.40/x
  3. Step 3: Cross multiply
    556,080,809.60x = 834,121,214.40 × 147,178,294.40
  4. Step 4: Simplify right side
    556,080,809.60x = 122,764,537,658,248,720
  5. Step 5: Solve for x
    x = 122,764,537,658,248,720/556,080,809.60
  6. Step 6: Final answer
    x = 220,767,441.60

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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.