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Finding the Fourth Proportional to 11,402,209,276.10, 15,984,860,809.90 and 11,402,209,276.10

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Solution

The fourth proportional to 11,402,209,276.10, 15,984,860,809.90 and 11,402,209,276.10 is: 15,984,860,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402,209,276.10 : 15,984,860,809.90 = 11,402,209,276.10 : x
  2. Step 2: Convert to fraction form
    11,402,209,276.10/15,984,860,809.90 = 11,402,209,276.10/x
  3. Step 3: Cross multiply
    11,402,209,276.10x = 15,984,860,809.90 × 11,402,209,276.10
  4. Step 4: Simplify right side
    11,402,209,276.10x = 182,262,728,203,809,128,448
  5. Step 5: Solve for x
    x = 182,262,728,203,809,128,448/11,402,209,276.10
  6. Step 6: Final answer
    x = 15,984,860,809.90

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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.