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Finding the Fourth Proportional to 862,833,533, 1,190,714,474.82 and 471,692,957

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Solution

The fourth proportional to 862,833,533, 1,190,714,474.82 and 471,692,957 is: 650,938,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,833,533 : 1,190,714,474.82 = 471,692,957 : x
  2. Step 2: Convert to fraction form
    862,833,533/1,190,714,474.82 = 471,692,957/x
  3. Step 3: Cross multiply
    862,833,533x = 1,190,714,474.82 × 471,692,957
  4. Step 4: Simplify right side
    862,833,533x = 561,651,631,570,547,840
  5. Step 5: Solve for x
    x = 561,651,631,570,547,840/862,833,533
  6. Step 6: Final answer
    x = 650,938,576.32

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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.