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Finding the Fourth Proportional to 432,652,035.84, 648,978,054.30 and 105,125,866.08

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Solution

The fourth proportional to 432,652,035.84, 648,978,054.30 and 105,125,866.08 is: 157,688,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,652,035.84 : 648,978,054.30 = 105,125,866.08 : x
  2. Step 2: Convert to fraction form
    432,652,035.84/648,978,054.30 = 105,125,866.08/x
  3. Step 3: Cross multiply
    432,652,035.84x = 648,978,054.30 × 105,125,866.08
  4. Step 4: Simplify right side
    432,652,035.84x = 68,224,380,025,200,760
  5. Step 5: Solve for x
    x = 68,224,380,025,200,760/432,652,035.84
  6. Step 6: Final answer
    x = 157,688,799.25

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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.