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Finding the Fourth Proportional to 426,251,805.10, 597,357,188.90 and 426,251,805.10

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Solution

The fourth proportional to 426,251,805.10, 597,357,188.90 and 426,251,805.10 is: 597,357,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,251,805.10 : 597,357,188.90 = 426,251,805.10 : x
  2. Step 2: Convert to fraction form
    426,251,805.10/597,357,188.90 = 426,251,805.10/x
  3. Step 3: Cross multiply
    426,251,805.10x = 597,357,188.90 × 426,251,805.10
  4. Step 4: Simplify right side
    426,251,805.10x = 254,624,580,058,086,688
  5. Step 5: Solve for x
    x = 254,624,580,058,086,688/426,251,805.10
  6. Step 6: Final answer
    x = 597,357,188.90

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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.