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Finding the Fourth Proportional to 437,029,378.80, 655,544,068.20 and 437,029,378.80

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Solution

The fourth proportional to 437,029,378.80, 655,544,068.20 and 437,029,378.80 is: 655,544,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,029,378.80 : 655,544,068.20 = 437,029,378.80 : x
  2. Step 2: Convert to fraction form
    437,029,378.80/655,544,068.20 = 437,029,378.80/x
  3. Step 3: Cross multiply
    437,029,378.80x = 655,544,068.20 × 437,029,378.80
  4. Step 4: Simplify right side
    437,029,378.80x = 286,492,016,901,470,848
  5. Step 5: Solve for x
    x = 286,492,016,901,470,848/437,029,378.80
  6. Step 6: Final answer
    x = 655,544,068.20

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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.