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Finding the Fourth Proportional to 523,908,000.40, 734,546,154.80 and 523,908,000.40

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Solution

The fourth proportional to 523,908,000.40, 734,546,154.80 and 523,908,000.40 is: 734,546,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,908,000.40 : 734,546,154.80 = 523,908,000.40 : x
  2. Step 2: Convert to fraction form
    523,908,000.40/734,546,154.80 = 523,908,000.40/x
  3. Step 3: Cross multiply
    523,908,000.40x = 734,546,154.80 × 523,908,000.40
  4. Step 4: Simplify right side
    523,908,000.40x = 384,834,607,162,776,832
  5. Step 5: Solve for x
    x = 384,834,607,162,776,832/523,908,000.40
  6. Step 6: Final answer
    x = 734,546,154.80

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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.