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Finding the Fourth Proportional to 600,254,280.92, 828,437,903.98 and 345,886,150.02

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Solution

The fourth proportional to 600,254,280.92, 828,437,903.98 and 345,886,150.02 is: 477,373,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,254,280.92 : 828,437,903.98 = 345,886,150.02 : x
  2. Step 2: Convert to fraction form
    600,254,280.92/828,437,903.98 = 345,886,150.02/x
  3. Step 3: Cross multiply
    600,254,280.92x = 828,437,903.98 × 345,886,150.02
  4. Step 4: Simplify right side
    600,254,280.92x = 286,545,197,138,280,640
  5. Step 5: Solve for x
    x = 286,545,197,138,280,640/600,254,280.92
  6. Step 6: Final answer
    x = 477,373,017.15

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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.