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Finding the Fourth Proportional to 839,565,458.66, 1,158,971,894.70 and 542,352,650.33

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Solution

The fourth proportional to 839,565,458.66, 1,158,971,894.70 and 542,352,650.33 is: 748,686,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,565,458.66 : 1,158,971,894.70 = 542,352,650.33 : x
  2. Step 2: Convert to fraction form
    839,565,458.66/1,158,971,894.70 = 542,352,650.33/x
  3. Step 3: Cross multiply
    839,565,458.66x = 1,158,971,894.70 × 542,352,650.33
  4. Step 4: Simplify right side
    839,565,458.66x = 628,571,478,749,363,072
  5. Step 5: Solve for x
    x = 628,571,478,749,363,072/839,565,458.66
  6. Step 6: Final answer
    x = 748,686,683.41

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