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Finding the Fourth Proportional to 153,272,025.20, 229,908,037.80 and 153,272,025.20

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Solution

The fourth proportional to 153,272,025.20, 229,908,037.80 and 153,272,025.20 is: 229,908,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,272,025.20 : 229,908,037.80 = 153,272,025.20 : x
  2. Step 2: Convert to fraction form
    153,272,025.20/229,908,037.80 = 153,272,025.20/x
  3. Step 3: Cross multiply
    153,272,025.20x = 229,908,037.80 × 153,272,025.20
  4. Step 4: Simplify right side
    153,272,025.20x = 35,238,470,563,364,152
  5. Step 5: Solve for x
    x = 35,238,470,563,364,152/153,272,025.20
  6. Step 6: Final answer
    x = 229,908,037.80

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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.