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Finding the Fourth Proportional to 292,780,494,317.70, 439,170,741,476.55 and 292,780,494,317.70

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Solution

The fourth proportional to 292,780,494,317.70, 439,170,741,476.55 and 292,780,494,317.70 is: 439,170,741,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,780,494,317.70 : 439,170,741,476.55 = 292,780,494,317.70 : x
  2. Step 2: Convert to fraction form
    292,780,494,317.70/439,170,741,476.55 = 292,780,494,317.70/x
  3. Step 3: Cross multiply
    292,780,494,317.70x = 439,170,741,476.55 × 292,780,494,317.70
  4. Step 4: Simplify right side
    292,780,494,317.70x = 128,580,626,779,375,151,349,760
  5. Step 5: Solve for x
    x = 128,580,626,779,375,151,349,760/292,780,494,317.70
  6. Step 6: Final answer
    x = 439,170,741,476.55

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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.