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Finding the Fourth Proportional to 402,006,195.60, 603,009,293.40 and 264,256,688.40

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Solution

The fourth proportional to 402,006,195.60, 603,009,293.40 and 264,256,688.40 is: 396,385,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,006,195.60 : 603,009,293.40 = 264,256,688.40 : x
  2. Step 2: Convert to fraction form
    402,006,195.60/603,009,293.40 = 264,256,688.40/x
  3. Step 3: Cross multiply
    402,006,195.60x = 603,009,293.40 × 264,256,688.40
  4. Step 4: Simplify right side
    402,006,195.60x = 159,349,238,948,307,968
  5. Step 5: Solve for x
    x = 159,349,238,948,307,968/402,006,195.60
  6. Step 6: Final answer
    x = 396,385,032.60

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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.