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Finding the Fourth Proportional to 472,476,374.40, 659,854,492.80 and 472,476,374.40

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Solution

The fourth proportional to 472,476,374.40, 659,854,492.80 and 472,476,374.40 is: 659,854,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,476,374.40 : 659,854,492.80 = 472,476,374.40 : x
  2. Step 2: Convert to fraction form
    472,476,374.40/659,854,492.80 = 472,476,374.40/x
  3. Step 3: Cross multiply
    472,476,374.40x = 659,854,492.80 × 472,476,374.40
  4. Step 4: Simplify right side
    472,476,374.40x = 311,765,658,389,694,848
  5. Step 5: Solve for x
    x = 311,765,658,389,694,848/472,476,374.40
  6. Step 6: Final answer
    x = 659,854,492.80

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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.