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Finding the Fourth Proportional to 471,456,057.40, 707,184,086.10 and 471,456,057.40

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Solution

The fourth proportional to 471,456,057.40, 707,184,086.10 and 471,456,057.40 is: 707,184,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,456,057.40 : 707,184,086.10 = 471,456,057.40 : x
  2. Step 2: Convert to fraction form
    471,456,057.40/707,184,086.10 = 471,456,057.40/x
  3. Step 3: Cross multiply
    471,456,057.40x = 707,184,086.10 × 471,456,057.40
  4. Step 4: Simplify right side
    471,456,057.40x = 333,406,221,088,728,128
  5. Step 5: Solve for x
    x = 333,406,221,088,728,128/471,456,057.40
  6. Step 6: Final answer
    x = 707,184,086.10

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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.