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Finding the Fourth Proportional to 226,934,852,334.15, 340,402,278,501.22 and 226,934,852,334.15

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Solution

The fourth proportional to 226,934,852,334.15, 340,402,278,501.22 and 226,934,852,334.15 is: 340,402,278,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,934,852,334.15 : 340,402,278,501.22 = 226,934,852,334.15 : x
  2. Step 2: Convert to fraction form
    226,934,852,334.15/340,402,278,501.22 = 226,934,852,334.15/x
  3. Step 3: Cross multiply
    226,934,852,334.15x = 340,402,278,501.22 × 226,934,852,334.15
  4. Step 4: Simplify right side
    226,934,852,334.15x = 77,249,140,805,882,548,846,592
  5. Step 5: Solve for x
    x = 77,249,140,805,882,548,846,592/226,934,852,334.15
  6. Step 6: Final answer
    x = 340,402,278,501.22

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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.