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Finding the Fourth Proportional to 499,968,235.40, 698,343,098.20 and 499,968,235.40

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Solution

The fourth proportional to 499,968,235.40, 698,343,098.20 and 499,968,235.40 is: 698,343,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,968,235.40 : 698,343,098.20 = 499,968,235.40 : x
  2. Step 2: Convert to fraction form
    499,968,235.40/698,343,098.20 = 499,968,235.40/x
  3. Step 3: Cross multiply
    499,968,235.40x = 698,343,098.20 × 499,968,235.40
  4. Step 4: Simplify right side
    499,968,235.40x = 349,149,366,510,822,912
  5. Step 5: Solve for x
    x = 349,149,366,510,822,912/499,968,235.40
  6. Step 6: Final answer
    x = 698,343,098.20

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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.