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Finding the Fourth Proportional to 287,352,732,809.40, 431,029,099,214.10 and 287,352,732,809.40

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Solution

The fourth proportional to 287,352,732,809.40, 431,029,099,214.10 and 287,352,732,809.40 is: 431,029,099,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,352,732,809.40 : 431,029,099,214.10 = 287,352,732,809.40 : x
  2. Step 2: Convert to fraction form
    287,352,732,809.40/431,029,099,214.10 = 287,352,732,809.40/x
  3. Step 3: Cross multiply
    287,352,732,809.40x = 431,029,099,214.10 × 287,352,732,809.40
  4. Step 4: Simplify right side
    287,352,732,809.40x = 123,857,389,579,545,652,232,192
  5. Step 5: Solve for x
    x = 123,857,389,579,545,652,232,192/287,352,732,809.40
  6. Step 6: Final answer
    x = 431,029,099,214.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.