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Finding the Fourth Proportional to 1,164,402,652,978.10, 1,746,639,561,825 and 399,480,073,863.49

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Solution

The fourth proportional to 1,164,402,652,978.10, 1,746,639,561,825 and 399,480,073,863.49 is: 599,232,318,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,402,652,978.10 : 1,746,639,561,825 = 399,480,073,863.49 : x
  2. Step 2: Convert to fraction form
    1,164,402,652,978.10/1,746,639,561,825 = 399,480,073,863.49/x
  3. Step 3: Cross multiply
    1,164,402,652,978.10x = 1,746,639,561,825 × 399,480,073,863.49
  4. Step 4: Simplify right side
    1,164,402,652,978.10x = 697,747,701,170,744,848,285,696
  5. Step 5: Solve for x
    x = 697,747,701,170,744,848,285,696/1,164,402,652,978.10
  6. Step 6: Final answer
    x = 599,232,318,293.14

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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.