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Finding the Fourth Proportional to 273,664,817,999.55, 410,497,226,999.32 and 273,664,817,999.55

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Solution

The fourth proportional to 273,664,817,999.55, 410,497,226,999.32 and 273,664,817,999.55 is: 410,497,226,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,664,817,999.55 : 410,497,226,999.32 = 273,664,817,999.55 : x
  2. Step 2: Convert to fraction form
    273,664,817,999.55/410,497,226,999.32 = 273,664,817,999.55/x
  3. Step 3: Cross multiply
    273,664,817,999.55x = 410,497,226,999.32 × 273,664,817,999.55
  4. Step 4: Simplify right side
    273,664,817,999.55x = 112,338,648,916,088,867,258,368
  5. Step 5: Solve for x
    x = 112,338,648,916,088,867,258,368/273,664,817,999.55
  6. Step 6: Final answer
    x = 410,497,226,999.32

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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.