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Finding the Fourth Proportional to 26,952,630,006.30, 40,428,945,009.45 and 26,952,630,006.30

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Solution

The fourth proportional to 26,952,630,006.30, 40,428,945,009.45 and 26,952,630,006.30 is: 40,428,945,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952,630,006.30 : 40,428,945,009.45 = 26,952,630,006.30 : x
  2. Step 2: Convert to fraction form
    26,952,630,006.30/40,428,945,009.45 = 26,952,630,006.30/x
  3. Step 3: Cross multiply
    26,952,630,006.30x = 40,428,945,009.45 × 26,952,630,006.30
  4. Step 4: Simplify right side
    26,952,630,006.30x = 1,089,666,396,384,754,532,352
  5. Step 5: Solve for x
    x = 1,089,666,396,384,754,532,352/26,952,630,006.30
  6. Step 6: Final answer
    x = 40,428,945,009.45

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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.