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Finding the Fourth Proportional to 215,286,093,009.40, 322,929,139,514.10 and 215,286,093,009.40

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Solution

The fourth proportional to 215,286,093,009.40, 322,929,139,514.10 and 215,286,093,009.40 is: 322,929,139,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,286,093,009.40 : 322,929,139,514.10 = 215,286,093,009.40 : x
  2. Step 2: Convert to fraction form
    215,286,093,009.40/322,929,139,514.10 = 215,286,093,009.40/x
  3. Step 3: Cross multiply
    215,286,093,009.40x = 322,929,139,514.10 × 215,286,093,009.40
  4. Step 4: Simplify right side
    215,286,093,009.40x = 69,522,152,764,878,035,615,744
  5. Step 5: Solve for x
    x = 69,522,152,764,878,035,615,744/215,286,093,009.40
  6. Step 6: Final answer
    x = 322,929,139,514.10

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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.