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Finding the Fourth Proportional to 376,971,552,002.90, 565,457,328,004.35 and 376,971,552,002.90

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Solution

The fourth proportional to 376,971,552,002.90, 565,457,328,004.35 and 376,971,552,002.90 is: 565,457,328,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,971,552,002.90 : 565,457,328,004.35 = 376,971,552,002.90 : x
  2. Step 2: Convert to fraction form
    376,971,552,002.90/565,457,328,004.35 = 376,971,552,002.90/x
  3. Step 3: Cross multiply
    376,971,552,002.90x = 565,457,328,004.35 × 376,971,552,002.90
  4. Step 4: Simplify right side
    376,971,552,002.90x = 213,161,326,529,212,720,349,184
  5. Step 5: Solve for x
    x = 213,161,326,529,212,720,349,184/376,971,552,002.90
  6. Step 6: Final answer
    x = 565,457,328,004.35

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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.