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Finding the Fourth Proportional to 316,656,051.60, 474,984,077.40 and 316,656,051.60

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Solution

The fourth proportional to 316,656,051.60, 474,984,077.40 and 316,656,051.60 is: 474,984,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,656,051.60 : 474,984,077.40 = 316,656,051.60 : x
  2. Step 2: Convert to fraction form
    316,656,051.60/474,984,077.40 = 316,656,051.60/x
  3. Step 3: Cross multiply
    316,656,051.60x = 474,984,077.40 × 316,656,051.60
  4. Step 4: Simplify right side
    316,656,051.60x = 150,406,582,522,352,800
  5. Step 5: Solve for x
    x = 150,406,582,522,352,800/316,656,051.60
  6. Step 6: Final answer
    x = 474,984,077.40

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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.