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Finding the Fourth Proportional to 860,907,548,712.80, 1,291,361,323,069.10 and 860,907,548,712.80

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Solution

The fourth proportional to 860,907,548,712.80, 1,291,361,323,069.10 and 860,907,548,712.80 is: 1,291,361,323,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,907,548,712.80 : 1,291,361,323,069.10 = 860,907,548,712.80 : x
  2. Step 2: Convert to fraction form
    860,907,548,712.80/1,291,361,323,069.10 = 860,907,548,712.80/x
  3. Step 3: Cross multiply
    860,907,548,712.80x = 1,291,361,323,069.10 × 860,907,548,712.80
  4. Step 4: Simplify right side
    860,907,548,712.80x = 1,111,742,711,145,937,225,383,936
  5. Step 5: Solve for x
    x = 1,111,742,711,145,937,225,383,936/860,907,548,712.80
  6. Step 6: Final answer
    x = 1,291,361,323,069.10

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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.