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Finding the Fourth Proportional to 212,392,692,005.80, 318,589,038,008.70 and 212,392,692,005.80

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Solution

The fourth proportional to 212,392,692,005.80, 318,589,038,008.70 and 212,392,692,005.80 is: 318,589,038,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,392,692,005.80 : 318,589,038,008.70 = 212,392,692,005.80 : x
  2. Step 2: Convert to fraction form
    212,392,692,005.80/318,589,038,008.70 = 212,392,692,005.80/x
  3. Step 3: Cross multiply
    212,392,692,005.80x = 318,589,038,008.70 × 212,392,692,005.80
  4. Step 4: Simplify right side
    212,392,692,005.80x = 67,665,983,426,205,931,536,384
  5. Step 5: Solve for x
    x = 67,665,983,426,205,931,536,384/212,392,692,005.80
  6. Step 6: Final answer
    x = 318,589,038,008.70

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1.5x scale

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.