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Finding the Fourth Proportional to 287,280,102.70, 403,212,510.50 and 287,280,102.70

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Solution

The fourth proportional to 287,280,102.70, 403,212,510.50 and 287,280,102.70 is: 403,212,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,280,102.70 : 403,212,510.50 = 287,280,102.70 : x
  2. Step 2: Convert to fraction form
    287,280,102.70/403,212,510.50 = 287,280,102.70/x
  3. Step 3: Cross multiply
    287,280,102.70x = 403,212,510.50 × 287,280,102.70
  4. Step 4: Simplify right side
    287,280,102.70x = 115,834,931,426,364,816
  5. Step 5: Solve for x
    x = 115,834,931,426,364,816/287,280,102.70
  6. Step 6: Final answer
    x = 403,212,510.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.