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Finding the Fourth Proportional to 866,641,731.36, 1,195,967,907.36 and 470,164,720.92

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Solution

The fourth proportional to 866,641,731.36, 1,195,967,907.36 and 470,164,720.92 is: 648,828,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,641,731.36 : 1,195,967,907.36 = 470,164,720.92 : x
  2. Step 2: Convert to fraction form
    866,641,731.36/1,195,967,907.36 = 470,164,720.92/x
  3. Step 3: Cross multiply
    866,641,731.36x = 1,195,967,907.36 × 470,164,720.92
  4. Step 4: Simplify right side
    866,641,731.36x = 562,301,917,393,190,784
  5. Step 5: Solve for x
    x = 562,301,917,393,190,784/866,641,731.36
  6. Step 6: Final answer
    x = 648,828,572.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.