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Finding the Fourth Proportional to 614,751,957.40, 848,355,164.76 and 332,494,713.40

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Solution

The fourth proportional to 614,751,957.40, 848,355,164.76 and 332,494,713.40 is: 458,841,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,751,957.40 : 848,355,164.76 = 332,494,713.40 : x
  2. Step 2: Convert to fraction form
    614,751,957.40/848,355,164.76 = 332,494,713.40/x
  3. Step 3: Cross multiply
    614,751,957.40x = 848,355,164.76 × 332,494,713.40
  4. Step 4: Simplify right side
    614,751,957.40x = 282,073,607,368,285,952
  5. Step 5: Solve for x
    x = 282,073,607,368,285,952/614,751,957.40
  6. Step 6: Final answer
    x = 458,841,332.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.