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Finding the Fourth Proportional to 510,168,384,098.40, 765,252,576,147.65 and 510,168,384,098.40

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Solution

The fourth proportional to 510,168,384,098.40, 765,252,576,147.65 and 510,168,384,098.40 is: 765,252,576,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,168,384,098.40 : 765,252,576,147.65 = 510,168,384,098.40 : x
  2. Step 2: Convert to fraction form
    510,168,384,098.40/765,252,576,147.65 = 510,168,384,098.40/x
  3. Step 3: Cross multiply
    510,168,384,098.40x = 765,252,576,147.65 × 510,168,384,098.40
  4. Step 4: Simplify right side
    510,168,384,098.40x = 390,407,670,200,384,463,306,752
  5. Step 5: Solve for x
    x = 390,407,670,200,384,463,306,752/510,168,384,098.40
  6. Step 6: Final answer
    x = 765,252,576,147.65

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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.