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Finding the Fourth Proportional to 376,971,552,004.40, 565,457,328,006.60 and 376,971,552,004.40

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Solution

The fourth proportional to 376,971,552,004.40, 565,457,328,006.60 and 376,971,552,004.40 is: 565,457,328,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,971,552,004.40 : 565,457,328,006.60 = 376,971,552,004.40 : x
  2. Step 2: Convert to fraction form
    376,971,552,004.40/565,457,328,006.60 = 376,971,552,004.40/x
  3. Step 3: Cross multiply
    376,971,552,004.40x = 565,457,328,006.60 × 376,971,552,004.40
  4. Step 4: Simplify right side
    376,971,552,004.40x = 213,161,326,530,909,098,213,376
  5. Step 5: Solve for x
    x = 213,161,326,530,909,098,213,376/376,971,552,004.40
  6. Step 6: Final answer
    x = 565,457,328,006.60

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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.