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Finding the Fourth Proportional to 659,033,091, 909,465,667.74 and 365,724,859.32

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Solution

The fourth proportional to 659,033,091, 909,465,667.74 and 365,724,859.32 is: 504,700,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,033,091 : 909,465,667.74 = 365,724,859.32 : x
  2. Step 2: Convert to fraction form
    659,033,091/909,465,667.74 = 365,724,859.32/x
  3. Step 3: Cross multiply
    659,033,091x = 909,465,667.74 × 365,724,859.32
  4. Step 4: Simplify right side
    659,033,091x = 332,614,203,390,581,376
  5. Step 5: Solve for x
    x = 332,614,203,390,581,376/659,033,091
  6. Step 6: Final answer
    x = 504,700,307.06

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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.