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Finding the Fourth Proportional to 470,067,902.80, 658,775,308.40 and 470,067,902.80

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Solution

The fourth proportional to 470,067,902.80, 658,775,308.40 and 470,067,902.80 is: 658,775,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,067,902.80 : 658,775,308.40 = 470,067,902.80 : x
  2. Step 2: Convert to fraction form
    470,067,902.80/658,775,308.40 = 470,067,902.80/x
  3. Step 3: Cross multiply
    470,067,902.80x = 658,775,308.40 × 470,067,902.80
  4. Step 4: Simplify right side
    470,067,902.80x = 309,669,127,636,011,200
  5. Step 5: Solve for x
    x = 309,669,127,636,011,200/470,067,902.80
  6. Step 6: Final answer
    x = 658,775,308.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.