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Finding the Fourth Proportional to 561,513,297.60, 842,269,946.40 and 561,513,297.60

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Solution

The fourth proportional to 561,513,297.60, 842,269,946.40 and 561,513,297.60 is: 842,269,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,513,297.60 : 842,269,946.40 = 561,513,297.60 : x
  2. Step 2: Convert to fraction form
    561,513,297.60/842,269,946.40 = 561,513,297.60/x
  3. Step 3: Cross multiply
    561,513,297.60x = 842,269,946.40 × 561,513,297.60
  4. Step 4: Simplify right side
    561,513,297.60x = 472,945,775,072,439,232
  5. Step 5: Solve for x
    x = 472,945,775,072,439,232/561,513,297.60
  6. Step 6: Final answer
    x = 842,269,946.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.