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Finding the Fourth Proportional to 70,797,563,999.10, 106,196,345,998.65 and 70,797,563,999.10

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Solution

The fourth proportional to 70,797,563,999.10, 106,196,345,998.65 and 70,797,563,999.10 is: 106,196,345,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797,563,999.10 : 106,196,345,998.65 = 70,797,563,999.10 : x
  2. Step 2: Convert to fraction form
    70,797,563,999.10/106,196,345,998.65 = 70,797,563,999.10/x
  3. Step 3: Cross multiply
    70,797,563,999.10x = 106,196,345,998.65 × 70,797,563,999.10
  4. Step 4: Simplify right side
    70,797,563,999.10x = 7,518,442,602,309,991,006,208
  5. Step 5: Solve for x
    x = 7,518,442,602,309,991,006,208/70,797,563,999.10
  6. Step 6: Final answer
    x = 106,196,345,998.65

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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.