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Finding the Fourth Proportional to 314,922,656.80, 472,458,634.80 and 161,592,378.40

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Solution

The fourth proportional to 314,922,656.80, 472,458,634.80 and 161,592,378.40 is: 242,426,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,922,656.80 : 472,458,634.80 = 161,592,378.40 : x
  2. Step 2: Convert to fraction form
    314,922,656.80/472,458,634.80 = 161,592,378.40/x
  3. Step 3: Cross multiply
    314,922,656.80x = 472,458,634.80 × 161,592,378.40
  4. Step 4: Simplify right side
    314,922,656.80x = 76,345,714,492,949,008
  5. Step 5: Solve for x
    x = 76,345,714,492,949,008/314,922,656.80
  6. Step 6: Final answer
    x = 242,426,871.63

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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.