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Finding the Fourth Proportional to 972,852,869.40, 1,460,735,452.38 and 842,100,668.70

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Solution

The fourth proportional to 972,852,869.40, 1,460,735,452.38 and 842,100,668.70 is: 1,264,411,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,852,869.40 : 1,460,735,452.38 = 842,100,668.70 : x
  2. Step 2: Convert to fraction form
    972,852,869.40/1,460,735,452.38 = 842,100,668.70/x
  3. Step 3: Cross multiply
    972,852,869.40x = 1,460,735,452.38 × 842,100,668.70
  4. Step 4: Simplify right side
    972,852,869.40x = 1,230,086,301,242,995,200
  5. Step 5: Solve for x
    x = 1,230,086,301,242,995,200/972,852,869.40
  6. Step 6: Final answer
    x = 1,264,411,443.84

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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.