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Finding the Fourth Proportional to 30,645,284,328.90, 45,967,926,493.35 and 30,645,284,328.90

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Solution

The fourth proportional to 30,645,284,328.90, 45,967,926,493.35 and 30,645,284,328.90 is: 45,967,926,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645,284,328.90 : 45,967,926,493.35 = 30,645,284,328.90 : x
  2. Step 2: Convert to fraction form
    30,645,284,328.90/45,967,926,493.35 = 30,645,284,328.90/x
  3. Step 3: Cross multiply
    30,645,284,328.90x = 45,967,926,493.35 × 30,645,284,328.90
  4. Step 4: Simplify right side
    30,645,284,328.90x = 1,408,700,177,398,686,023,680
  5. Step 5: Solve for x
    x = 1,408,700,177,398,686,023,680/30,645,284,328.90
  6. Step 6: Final answer
    x = 45,967,926,493.35

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Double scale
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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.