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Finding the Fourth Proportional to 301,809,985.20, 452,714,977.80 and 301,809,985.20

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Solution

The fourth proportional to 301,809,985.20, 452,714,977.80 and 301,809,985.20 is: 452,714,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,809,985.20 : 452,714,977.80 = 301,809,985.20 : x
  2. Step 2: Convert to fraction form
    301,809,985.20/452,714,977.80 = 301,809,985.20/x
  3. Step 3: Cross multiply
    301,809,985.20x = 452,714,977.80 × 301,809,985.20
  4. Step 4: Simplify right side
    301,809,985.20x = 136,633,900,749,636,320
  5. Step 5: Solve for x
    x = 136,633,900,749,636,320/301,809,985.20
  6. Step 6: Final answer
    x = 452,714,977.80

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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.