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Finding the Fourth Proportional to 651,640,295.80, 977,460,443.70 and 651,640,295.80

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Solution

The fourth proportional to 651,640,295.80, 977,460,443.70 and 651,640,295.80 is: 977,460,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,640,295.80 : 977,460,443.70 = 651,640,295.80 : x
  2. Step 2: Convert to fraction form
    651,640,295.80/977,460,443.70 = 651,640,295.80/x
  3. Step 3: Cross multiply
    651,640,295.80x = 977,460,443.70 × 651,640,295.80
  4. Step 4: Simplify right side
    651,640,295.80x = 636,952,612,665,467,264
  5. Step 5: Solve for x
    x = 636,952,612,665,467,264/651,640,295.80
  6. Step 6: Final answer
    x = 977,460,443.70

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Why These Related Problems?

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