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Finding the Fourth Proportional to 447,720,460,666.80, 671,580,691,000.20 and 447,720,460,666.80

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Solution

The fourth proportional to 447,720,460,666.80, 671,580,691,000.20 and 447,720,460,666.80 is: 671,580,691,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,720,460,666.80 : 671,580,691,000.20 = 447,720,460,666.80 : x
  2. Step 2: Convert to fraction form
    447,720,460,666.80/671,580,691,000.20 = 447,720,460,666.80/x
  3. Step 3: Cross multiply
    447,720,460,666.80x = 671,580,691,000.20 × 447,720,460,666.80
  4. Step 4: Simplify right side
    447,720,460,666.80x = 300,680,416,349,537,362,247,680
  5. Step 5: Solve for x
    x = 300,680,416,349,537,362,247,680/447,720,460,666.80
  6. Step 6: Final answer
    x = 671,580,691,000.20

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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.