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Finding the Fourth Proportional to 471,920,256,000.10, 707,880,384,000.15 and 471,920,256,000.10

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Solution

The fourth proportional to 471,920,256,000.10, 707,880,384,000.15 and 471,920,256,000.10 is: 707,880,384,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,920,256,000.10 : 707,880,384,000.15 = 471,920,256,000.10 : x
  2. Step 2: Convert to fraction form
    471,920,256,000.10/707,880,384,000.15 = 471,920,256,000.10/x
  3. Step 3: Cross multiply
    471,920,256,000.10x = 707,880,384,000.15 × 471,920,256,000.10
  4. Step 4: Simplify right side
    471,920,256,000.10x = 334,063,092,034,799,876,964,352
  5. Step 5: Solve for x
    x = 334,063,092,034,799,876,964,352/471,920,256,000.10
  6. Step 6: Final answer
    x = 707,880,384,000.15

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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.