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Finding the Fourth Proportional to 469,732,608,300.80, 704,598,912,451.20 and 469,732,608,300.80

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Solution

The fourth proportional to 469,732,608,300.80, 704,598,912,451.20 and 469,732,608,300.80 is: 704,598,912,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,732,608,300.80 : 704,598,912,451.20 = 469,732,608,300.80 : x
  2. Step 2: Convert to fraction form
    469,732,608,300.80/704,598,912,451.20 = 469,732,608,300.80/x
  3. Step 3: Cross multiply
    469,732,608,300.80x = 704,598,912,451.20 × 469,732,608,300.80
  4. Step 4: Simplify right side
    469,732,608,300.80x = 330,973,084,951,609,153,159,168
  5. Step 5: Solve for x
    x = 330,973,084,951,609,153,159,168/469,732,608,300.80
  6. Step 6: Final answer
    x = 704,598,912,451.20

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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.