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Finding the Fourth Proportional to 556,225,009.60, 780,327,444.80 and 556,225,009.60

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Solution

The fourth proportional to 556,225,009.60, 780,327,444.80 and 556,225,009.60 is: 780,327,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,225,009.60 : 780,327,444.80 = 556,225,009.60 : x
  2. Step 2: Convert to fraction form
    556,225,009.60/780,327,444.80 = 556,225,009.60/x
  3. Step 3: Cross multiply
    556,225,009.60x = 780,327,444.80 × 556,225,009.60
  4. Step 4: Simplify right side
    556,225,009.60x = 434,037,640,475,023,488
  5. Step 5: Solve for x
    x = 434,037,640,475,023,488/556,225,009.60
  6. Step 6: Final answer
    x = 780,327,444.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.