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Finding the Fourth Proportional to 301,888,947.10, 452,833,420.65 and 301,888,947.10

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Solution

The fourth proportional to 301,888,947.10, 452,833,420.65 and 301,888,947.10 is: 452,833,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,888,947.10 : 452,833,420.65 = 301,888,947.10 : x
  2. Step 2: Convert to fraction form
    301,888,947.10/452,833,420.65 = 301,888,947.10/x
  3. Step 3: Cross multiply
    301,888,947.10x = 452,833,420.65 × 301,888,947.10
  4. Step 4: Simplify right side
    301,888,947.10x = 136,705,404,571,719,904
  5. Step 5: Solve for x
    x = 136,705,404,571,719,904/301,888,947.10
  6. Step 6: Final answer
    x = 452,833,420.65

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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.