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Finding the Fourth Proportional to 27,280,425,614.40, 40,920,638,421.60 and 27,280,425,614.40

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Solution

The fourth proportional to 27,280,425,614.40, 40,920,638,421.60 and 27,280,425,614.40 is: 40,920,638,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,280,425,614.40 : 40,920,638,421.60 = 27,280,425,614.40 : x
  2. Step 2: Convert to fraction form
    27,280,425,614.40/40,920,638,421.60 = 27,280,425,614.40/x
  3. Step 3: Cross multiply
    27,280,425,614.40x = 40,920,638,421.60 × 27,280,425,614.40
  4. Step 4: Simplify right side
    27,280,425,614.40x = 1,116,332,432,554,217,439,232
  5. Step 5: Solve for x
    x = 1,116,332,432,554,217,439,232/27,280,425,614.40
  6. Step 6: Final answer
    x = 40,920,638,421.60

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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.