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Finding the Fourth Proportional to 409,365,835.52, 564,870,272.64 and 262,886,524.16

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Solution

The fourth proportional to 409,365,835.52, 564,870,272.64 and 262,886,524.16 is: 362,748,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,365,835.52 : 564,870,272.64 = 262,886,524.16 : x
  2. Step 2: Convert to fraction form
    409,365,835.52/564,870,272.64 = 262,886,524.16/x
  3. Step 3: Cross multiply
    409,365,835.52x = 564,870,272.64 × 262,886,524.16
  4. Step 4: Simplify right side
    409,365,835.52x = 148,496,782,575,641,152
  5. Step 5: Solve for x
    x = 148,496,782,575,641,152/409,365,835.52
  6. Step 6: Final answer
    x = 362,748,352.92

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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.