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Finding the Fourth Proportional to 892,573,669.70, 1,338,860,504.55 and 795,638,831.30

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Solution

The fourth proportional to 892,573,669.70, 1,338,860,504.55 and 795,638,831.30 is: 1,193,458,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,573,669.70 : 1,338,860,504.55 = 795,638,831.30 : x
  2. Step 2: Convert to fraction form
    892,573,669.70/1,338,860,504.55 = 795,638,831.30/x
  3. Step 3: Cross multiply
    892,573,669.70x = 1,338,860,504.55 × 795,638,831.30
  4. Step 4: Simplify right side
    892,573,669.70x = 1,065,249,407,113,890,176
  5. Step 5: Solve for x
    x = 1,065,249,407,113,890,176/892,573,669.70
  6. Step 6: Final answer
    x = 1,193,458,246.95

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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.