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Finding the Fourth Proportional to 114,049,216.40, 160,072,010.80 and 114,049,216.40

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Solution

The fourth proportional to 114,049,216.40, 160,072,010.80 and 114,049,216.40 is: 160,072,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,049,216.40 : 160,072,010.80 = 114,049,216.40 : x
  2. Step 2: Convert to fraction form
    114,049,216.40/160,072,010.80 = 114,049,216.40/x
  3. Step 3: Cross multiply
    114,049,216.40x = 160,072,010.80 × 114,049,216.40
  4. Step 4: Simplify right side
    114,049,216.40x = 18,256,087,399,312,340
  5. Step 5: Solve for x
    x = 18,256,087,399,312,340/114,049,216.40
  6. Step 6: Final answer
    x = 160,072,010.80

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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.