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Finding the Fourth Proportional to 471,920,256,072.60, 707,880,384,108.90 and 471,920,256,072.60

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Solution

The fourth proportional to 471,920,256,072.60, 707,880,384,108.90 and 471,920,256,072.60 is: 707,880,384,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,920,256,072.60 : 707,880,384,108.90 = 471,920,256,072.60 : x
  2. Step 2: Convert to fraction form
    471,920,256,072.60/707,880,384,108.90 = 471,920,256,072.60/x
  3. Step 3: Cross multiply
    471,920,256,072.60x = 707,880,384,108.90 × 471,920,256,072.60
  4. Step 4: Simplify right side
    471,920,256,072.60x = 334,063,092,137,442,548,908,032
  5. Step 5: Solve for x
    x = 334,063,092,137,442,548,908,032/471,920,256,072.60
  6. Step 6: Final answer
    x = 707,880,384,108.90

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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.