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Finding the Fourth Proportional to 191,311,380,070.30, 286,967,070,105.45 and 191,311,380,070.30

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Solution

The fourth proportional to 191,311,380,070.30, 286,967,070,105.45 and 191,311,380,070.30 is: 286,967,070,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,311,380,070.30 : 286,967,070,105.45 = 191,311,380,070.30 : x
  2. Step 2: Convert to fraction form
    191,311,380,070.30/286,967,070,105.45 = 191,311,380,070.30/x
  3. Step 3: Cross multiply
    191,311,380,070.30x = 286,967,070,105.45 × 191,311,380,070.30
  4. Step 4: Simplify right side
    191,311,380,070.30x = 54,900,066,216,604,168,355,840
  5. Step 5: Solve for x
    x = 54,900,066,216,604,168,355,840/191,311,380,070.30
  6. Step 6: Final answer
    x = 286,967,070,105.45

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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.