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Finding the Fourth Proportional to 971,641,032.50, 1,339,470,017.38 and 692,698,280.42

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Solution

The fourth proportional to 971,641,032.50, 1,339,470,017.38 and 692,698,280.42 is: 954,929,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,641,032.50 : 1,339,470,017.38 = 692,698,280.42 : x
  2. Step 2: Convert to fraction form
    971,641,032.50/1,339,470,017.38 = 692,698,280.42/x
  3. Step 3: Cross multiply
    971,641,032.50x = 1,339,470,017.38 × 692,698,280.42
  4. Step 4: Simplify right side
    971,641,032.50x = 927,848,577,717,549,568
  5. Step 5: Solve for x
    x = 927,848,577,717,549,568/971,641,032.50
  6. Step 6: Final answer
    x = 954,929,389.23

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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.