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Finding the Fourth Proportional to 866,641,663.34, 1,195,967,813.52 and 470,164,652.90

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Solution

The fourth proportional to 866,641,663.34, 1,195,967,813.52 and 470,164,652.90 is: 648,828,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,641,663.34 : 1,195,967,813.52 = 470,164,652.90 : x
  2. Step 2: Convert to fraction form
    866,641,663.34/1,195,967,813.52 = 470,164,652.90/x
  3. Step 3: Cross multiply
    866,641,663.34x = 1,195,967,813.52 × 470,164,652.90
  4. Step 4: Simplify right side
    866,641,663.34x = 562,301,791,923,202,688
  5. Step 5: Solve for x
    x = 562,301,791,923,202,688/866,641,663.34
  6. Step 6: Final answer
    x = 648,828,478.61

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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.