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Finding the Fourth Proportional to 510,518,185.30, 765,777,277.95 and 510,518,185.30

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Solution

The fourth proportional to 510,518,185.30, 765,777,277.95 and 510,518,185.30 is: 765,777,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,518,185.30 : 765,777,277.95 = 510,518,185.30 : x
  2. Step 2: Convert to fraction form
    510,518,185.30/765,777,277.95 = 510,518,185.30/x
  3. Step 3: Cross multiply
    510,518,185.30x = 765,777,277.95 × 510,518,185.30
  4. Step 4: Simplify right side
    510,518,185.30x = 390,943,226,283,007,744
  5. Step 5: Solve for x
    x = 390,943,226,283,007,744/510,518,185.30
  6. Step 6: Final answer
    x = 765,777,277.95

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Double scale
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Similar ratio
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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.