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Finding the Fourth Proportional to 866,641,740.86, 1,195,967,920.48 and 470,164,730.42

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Solution

The fourth proportional to 866,641,740.86, 1,195,967,920.48 and 470,164,730.42 is: 648,828,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,641,740.86 : 1,195,967,920.48 = 470,164,730.42 : x
  2. Step 2: Convert to fraction form
    866,641,740.86/1,195,967,920.48 = 470,164,730.42/x
  3. Step 3: Cross multiply
    866,641,740.86x = 1,195,967,920.48 × 470,164,730.42
  4. Step 4: Simplify right side
    866,641,740.86x = 562,301,934,923,447,232
  5. Step 5: Solve for x
    x = 562,301,934,923,447,232/866,641,740.86
  6. Step 6: Final answer
    x = 648,828,585.58

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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.