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Finding the Fourth Proportional to 704,885,471.84, 972,684,852.36 and 407,546,809.76

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Solution

The fourth proportional to 704,885,471.84, 972,684,852.36 and 407,546,809.76 is: 562,381,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,885,471.84 : 972,684,852.36 = 407,546,809.76 : x
  2. Step 2: Convert to fraction form
    704,885,471.84/972,684,852.36 = 407,546,809.76/x
  3. Step 3: Cross multiply
    704,885,471.84x = 972,684,852.36 × 407,546,809.76
  4. Step 4: Simplify right side
    704,885,471.84x = 396,414,608,481,194,624
  5. Step 5: Solve for x
    x = 396,414,608,481,194,624/704,885,471.84
  6. Step 6: Final answer
    x = 562,381,584.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.