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Finding the Fourth Proportional to 700,757,675.42, 966,716,330.82 and 499,858,953.32

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Solution

The fourth proportional to 700,757,675.42, 966,716,330.82 and 499,858,953.32 is: 689,570,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,757,675.42 : 966,716,330.82 = 499,858,953.32 : x
  2. Step 2: Convert to fraction form
    700,757,675.42/966,716,330.82 = 499,858,953.32/x
  3. Step 3: Cross multiply
    700,757,675.42x = 966,716,330.82 × 499,858,953.32
  4. Step 4: Simplify right side
    700,757,675.42x = 483,221,813,281,036,096
  5. Step 5: Solve for x
    x = 483,221,813,281,036,096/700,757,675.42
  6. Step 6: Final answer
    x = 689,570,489.53

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1.5x scale

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.