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Finding the Fourth Proportional to 475,331,328,962.70, 712,996,993,444.05 and 475,331,328,962.70

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Solution

The fourth proportional to 475,331,328,962.70, 712,996,993,444.05 and 475,331,328,962.70 is: 712,996,993,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,331,328,962.70 : 712,996,993,444.05 = 475,331,328,962.70 : x
  2. Step 2: Convert to fraction form
    475,331,328,962.70/712,996,993,444.05 = 475,331,328,962.70/x
  3. Step 3: Cross multiply
    475,331,328,962.70x = 712,996,993,444.05 × 475,331,328,962.70
  4. Step 4: Simplify right side
    475,331,328,962.70x = 338,909,808,440,169,793,060,864
  5. Step 5: Solve for x
    x = 338,909,808,440,169,793,060,864/475,331,328,962.70
  6. Step 6: Final answer
    x = 712,996,993,444.05

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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.