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Finding the Fourth Proportional to 972,852,864.87, 1,460,735,445.58 and 842,100,664.17

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Solution

The fourth proportional to 972,852,864.87, 1,460,735,445.58 and 842,100,664.17 is: 1,264,411,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,852,864.87 : 1,460,735,445.58 = 842,100,664.17 : x
  2. Step 2: Convert to fraction form
    972,852,864.87/1,460,735,445.58 = 842,100,664.17/x
  3. Step 3: Cross multiply
    972,852,864.87x = 1,460,735,445.58 × 842,100,664.17
  4. Step 4: Simplify right side
    972,852,864.87x = 1,230,086,288,899,578,880
  5. Step 5: Solve for x
    x = 1,230,086,288,899,578,880/972,852,864.87
  6. Step 6: Final answer
    x = 1,264,411,437.04

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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.