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Finding the Fourth Proportional to 401,060,808,813.46, 601,591,213,220.20 and 401,060,808,813.46

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Solution

The fourth proportional to 401,060,808,813.46, 601,591,213,220.20 and 401,060,808,813.46 is: 601,591,213,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,060,808,813.46 : 601,591,213,220.20 = 401,060,808,813.46 : x
  2. Step 2: Convert to fraction form
    401,060,808,813.46/601,591,213,220.20 = 401,060,808,813.46/x
  3. Step 3: Cross multiply
    401,060,808,813.46x = 601,591,213,220.20 × 401,060,808,813.46
  4. Step 4: Simplify right side
    401,060,808,813.46x = 241,274,658,549,164,083,773,440
  5. Step 5: Solve for x
    x = 241,274,658,549,164,083,773,440/401,060,808,813.46
  6. Step 6: Final answer
    x = 601,591,213,220.20

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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.