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Finding the Fourth Proportional to 510,167,435,706.60, 765,251,153,559.90 and 510,167,435,706.60

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Solution

The fourth proportional to 510,167,435,706.60, 765,251,153,559.90 and 510,167,435,706.60 is: 765,251,153,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,167,435,706.60 : 765,251,153,559.90 = 510,167,435,706.60 : x
  2. Step 2: Convert to fraction form
    510,167,435,706.60/765,251,153,559.90 = 510,167,435,706.60/x
  3. Step 3: Cross multiply
    510,167,435,706.60x = 765,251,153,559.90 × 510,167,435,706.60
  4. Step 4: Simplify right side
    510,167,435,706.60x = 390,406,218,683,171,769,155,584
  5. Step 5: Solve for x
    x = 390,406,218,683,171,769,155,584/510,167,435,706.60
  6. Step 6: Final answer
    x = 765,251,153,559.90

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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.