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Finding the Fourth Proportional to 1,329,696,001.60, 1,994,544,002.40 and 894,339,534.40

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Solution

The fourth proportional to 1,329,696,001.60, 1,994,544,002.40 and 894,339,534.40 is: 1,341,509,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,696,001.60 : 1,994,544,002.40 = 894,339,534.40 : x
  2. Step 2: Convert to fraction form
    1,329,696,001.60/1,994,544,002.40 = 894,339,534.40/x
  3. Step 3: Cross multiply
    1,329,696,001.60x = 1,994,544,002.40 × 894,339,534.40
  4. Step 4: Simplify right side
    1,329,696,001.60x = 1,783,799,554,446,728,448
  5. Step 5: Solve for x
    x = 1,783,799,554,446,728,448/1,329,696,001.60
  6. Step 6: Final answer
    x = 1,341,509,301.60

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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.