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Finding the Fourth Proportional to 552,995,134.90, 829,492,702.35 and 464,311,410.10

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Solution

The fourth proportional to 552,995,134.90, 829,492,702.35 and 464,311,410.10 is: 696,467,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,995,134.90 : 829,492,702.35 = 464,311,410.10 : x
  2. Step 2: Convert to fraction form
    552,995,134.90/829,492,702.35 = 464,311,410.10/x
  3. Step 3: Cross multiply
    552,995,134.90x = 829,492,702.35 × 464,311,410.10
  4. Step 4: Simplify right side
    552,995,134.90x = 385,142,926,295,788,096
  5. Step 5: Solve for x
    x = 385,142,926,295,788,096/552,995,134.90
  6. Step 6: Final answer
    x = 696,467,115.15

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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.