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Finding the Fourth Proportional to 201,574,951.64, 278,024,918.98 and 152,017,413.84

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Solution

The fourth proportional to 201,574,951.64, 278,024,918.98 and 152,017,413.84 is: 209,672,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,574,951.64 : 278,024,918.98 = 152,017,413.84 : x
  2. Step 2: Convert to fraction form
    201,574,951.64/278,024,918.98 = 152,017,413.84/x
  3. Step 3: Cross multiply
    201,574,951.64x = 278,024,918.98 × 152,017,413.84
  4. Step 4: Simplify right side
    201,574,951.64x = 42,264,629,166,415,136
  5. Step 5: Solve for x
    x = 42,264,629,166,415,136/201,574,951.64
  6. Step 6: Final answer
    x = 209,672,029.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.