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Finding the Fourth Proportional to 198,025,910,280.90, 297,038,865,421.34 and 198,025,910,280.90

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Solution

The fourth proportional to 198,025,910,280.90, 297,038,865,421.34 and 198,025,910,280.90 is: 297,038,865,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,025,910,280.90 : 297,038,865,421.34 = 198,025,910,280.90 : x
  2. Step 2: Convert to fraction form
    198,025,910,280.90/297,038,865,421.34 = 198,025,910,280.90/x
  3. Step 3: Cross multiply
    198,025,910,280.90x = 297,038,865,421.34 × 198,025,910,280.90
  4. Step 4: Simplify right side
    198,025,910,280.90x = 58,821,391,713,866,604,347,392
  5. Step 5: Solve for x
    x = 58,821,391,713,866,604,347,392/198,025,910,280.90
  6. Step 6: Final answer
    x = 297,038,865,421.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.