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Finding the Fourth Proportional to 314,993,877.60, 472,490,816.40 and 314,993,877.60

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Solution

The fourth proportional to 314,993,877.60, 472,490,816.40 and 314,993,877.60 is: 472,490,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,993,877.60 : 472,490,816.40 = 314,993,877.60 : x
  2. Step 2: Convert to fraction form
    314,993,877.60/472,490,816.40 = 314,993,877.60/x
  3. Step 3: Cross multiply
    314,993,877.60x = 472,490,816.40 × 314,993,877.60
  4. Step 4: Simplify right side
    314,993,877.60x = 148,831,714,388,225,664
  5. Step 5: Solve for x
    x = 148,831,714,388,225,664/314,993,877.60
  6. Step 6: Final answer
    x = 472,490,816.40

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Why These Related Problems?

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