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Finding the Fourth Proportional to 212,392,692,000.05, 318,589,038,000.10 and 212,392,692,000.05

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Solution

The fourth proportional to 212,392,692,000.05, 318,589,038,000.10 and 212,392,692,000.05 is: 318,589,038,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,392,692,000.05 : 318,589,038,000.10 = 212,392,692,000.05 : x
  2. Step 2: Convert to fraction form
    212,392,692,000.05/318,589,038,000.10 = 212,392,692,000.05/x
  3. Step 3: Cross multiply
    212,392,692,000.05x = 318,589,038,000.10 × 212,392,692,000.05
  4. Step 4: Simplify right side
    212,392,692,000.05x = 67,665,983,422,547,458,260,992
  5. Step 5: Solve for x
    x = 67,665,983,422,547,458,260,992/212,392,692,000.05
  6. Step 6: Final answer
    x = 318,589,038,000.10

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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.