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Finding the Fourth Proportional to 930,565,713.60, 1,395,848,570.40 and 413,048,467.80

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Solution

The fourth proportional to 930,565,713.60, 1,395,848,570.40 and 413,048,467.80 is: 619,572,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,565,713.60 : 1,395,848,570.40 = 413,048,467.80 : x
  2. Step 2: Convert to fraction form
    930,565,713.60/1,395,848,570.40 = 413,048,467.80/x
  3. Step 3: Cross multiply
    930,565,713.60x = 1,395,848,570.40 × 413,048,467.80
  4. Step 4: Simplify right side
    930,565,713.60x = 576,553,113,284,540,544
  5. Step 5: Solve for x
    x = 576,553,113,284,540,544/930,565,713.60
  6. Step 6: Final answer
    x = 619,572,701.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.