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Finding the Fourth Proportional to 36,292,229,009.40, 54,438,343,514.10 and 36,292,229,009.40

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Solution

The fourth proportional to 36,292,229,009.40, 54,438,343,514.10 and 36,292,229,009.40 is: 54,438,343,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,292,229,009.40 : 54,438,343,514.10 = 36,292,229,009.40 : x
  2. Step 2: Convert to fraction form
    36,292,229,009.40/54,438,343,514.10 = 36,292,229,009.40/x
  3. Step 3: Cross multiply
    36,292,229,009.40x = 54,438,343,514.10 × 36,292,229,009.40
  4. Step 4: Simplify right side
    36,292,229,009.40x = 1,975,688,829,706,102,374,400
  5. Step 5: Solve for x
    x = 1,975,688,829,706,102,374,400/36,292,229,009.40
  6. Step 6: Final answer
    x = 54,438,343,514.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.