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Finding the Fourth Proportional to 972,852,870.90, 1,460,735,454.57 and 842,100,670.14

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Solution

The fourth proportional to 972,852,870.90, 1,460,735,454.57 and 842,100,670.14 is: 1,264,411,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,852,870.90 : 1,460,735,454.57 = 842,100,670.14 : x
  2. Step 2: Convert to fraction form
    972,852,870.90/1,460,735,454.57 = 842,100,670.14/x
  3. Step 3: Cross multiply
    972,852,870.90x = 1,460,735,454.57 × 842,100,670.14
  4. Step 4: Simplify right side
    972,852,870.90x = 1,230,086,305,190,654,464
  5. Step 5: Solve for x
    x = 1,230,086,305,190,654,464/972,852,870.90
  6. Step 6: Final answer
    x = 1,264,411,445.95

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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.