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Finding the Fourth Proportional to 510,168,384,007.75, 765,252,576,011.55 and 510,168,384,007.75

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Solution

The fourth proportional to 510,168,384,007.75, 765,252,576,011.55 and 510,168,384,007.75 is: 765,252,576,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,168,384,007.75 : 765,252,576,011.55 = 510,168,384,007.75 : x
  2. Step 2: Convert to fraction form
    510,168,384,007.75/765,252,576,011.55 = 510,168,384,007.75/x
  3. Step 3: Cross multiply
    510,168,384,007.75x = 765,252,576,011.55 × 510,168,384,007.75
  4. Step 4: Simplify right side
    510,168,384,007.75x = 390,407,670,061,580,381,323,264
  5. Step 5: Solve for x
    x = 390,407,670,061,580,381,323,264/510,168,384,007.75
  6. Step 6: Final answer
    x = 765,252,576,011.55

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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.