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Finding the Fourth Proportional to 866,641,661.34, 1,195,967,810.75 and 470,164,650.90

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Solution

The fourth proportional to 866,641,661.34, 1,195,967,810.75 and 470,164,650.90 is: 648,828,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,641,661.34 : 1,195,967,810.75 = 470,164,650.90 : x
  2. Step 2: Convert to fraction form
    866,641,661.34/1,195,967,810.75 = 470,164,650.90/x
  3. Step 3: Cross multiply
    866,641,661.34x = 1,195,967,810.75 × 470,164,650.90
  4. Step 4: Simplify right side
    866,641,661.34x = 562,301,788,224,744,128
  5. Step 5: Solve for x
    x = 562,301,788,224,744,128/866,641,661.34
  6. Step 6: Final answer
    x = 648,828,475.84

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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.