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Finding the Fourth Proportional to 484,674,242,803.20, 727,011,364,204.80 and 484,674,242,803.20

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Solution

The fourth proportional to 484,674,242,803.20, 727,011,364,204.80 and 484,674,242,803.20 is: 727,011,364,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,674,242,803.20 : 727,011,364,204.80 = 484,674,242,803.20 : x
  2. Step 2: Convert to fraction form
    484,674,242,803.20/727,011,364,204.80 = 484,674,242,803.20/x
  3. Step 3: Cross multiply
    484,674,242,803.20x = 727,011,364,204.80 × 484,674,242,803.20
  4. Step 4: Simplify right side
    484,674,242,803.20x = 352,363,682,455,282,914,426,880
  5. Step 5: Solve for x
    x = 352,363,682,455,282,914,426,880/484,674,242,803.20
  6. Step 6: Final answer
    x = 727,011,364,204.80

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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.