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Finding the Fourth Proportional to 2,367,564,809.90, 3,320,032,689.70 and 2,367,564,809.90

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Solution

The fourth proportional to 2,367,564,809.90, 3,320,032,689.70 and 2,367,564,809.90 is: 3,320,032,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,564,809.90 : 3,320,032,689.70 = 2,367,564,809.90 : x
  2. Step 2: Convert to fraction form
    2,367,564,809.90/3,320,032,689.70 = 2,367,564,809.90/x
  3. Step 3: Cross multiply
    2,367,564,809.90x = 3,320,032,689.70 × 2,367,564,809.90
  4. Step 4: Simplify right side
    2,367,564,809.90x = 7,860,392,563,851,366,400
  5. Step 5: Solve for x
    x = 7,860,392,563,851,366,400/2,367,564,809.90
  6. Step 6: Final answer
    x = 3,320,032,689.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.