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Finding the Fourth Proportional to 860,909,148,244.90, 1,291,363,722,367.40 and 860,909,148,244.90

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Solution

The fourth proportional to 860,909,148,244.90, 1,291,363,722,367.40 and 860,909,148,244.90 is: 1,291,363,722,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,909,148,244.90 : 1,291,363,722,367.40 = 860,909,148,244.90 : x
  2. Step 2: Convert to fraction form
    860,909,148,244.90/1,291,363,722,367.40 = 860,909,148,244.90/x
  3. Step 3: Cross multiply
    860,909,148,244.90x = 1,291,363,722,367.40 × 860,909,148,244.90
  4. Step 4: Simplify right side
    860,909,148,244.90x = 1,111,746,842,297,681,789,845,504
  5. Step 5: Solve for x
    x = 1,111,746,842,297,681,789,845,504/860,909,148,244.90
  6. Step 6: Final answer
    x = 1,291,363,722,367.40

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