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Finding the Fourth Proportional to 344,908,298.40, 517,362,447.60 and 344,908,298.40

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Solution

The fourth proportional to 344,908,298.40, 517,362,447.60 and 344,908,298.40 is: 517,362,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,908,298.40 : 517,362,447.60 = 344,908,298.40 : x
  2. Step 2: Convert to fraction form
    344,908,298.40/517,362,447.60 = 344,908,298.40/x
  3. Step 3: Cross multiply
    344,908,298.40x = 517,362,447.60 × 344,908,298.40
  4. Step 4: Simplify right side
    344,908,298.40x = 178,442,601,457,775,168
  5. Step 5: Solve for x
    x = 178,442,601,457,775,168/344,908,298.40
  6. Step 6: Final answer
    x = 517,362,447.60

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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.