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Finding the Fourth Proportional to 316,094,875.70, 473,978,941.57 and 138,759,435.58

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Solution

The fourth proportional to 316,094,875.70, 473,978,941.57 and 138,759,435.58 is: 208,067,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,094,875.70 : 473,978,941.57 = 138,759,435.58 : x
  2. Step 2: Convert to fraction form
    316,094,875.70/473,978,941.57 = 138,759,435.58/x
  3. Step 3: Cross multiply
    316,094,875.70x = 473,978,941.57 × 138,759,435.58
  4. Step 4: Simplify right side
    316,094,875.70x = 65,769,050,407,601,960
  5. Step 5: Solve for x
    x = 65,769,050,407,601,960/316,094,875.70
  6. Step 6: Final answer
    x = 208,067,436.28

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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.