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Finding the Fourth Proportional to 2,068,857,569.45, 2,903,656,538.35 and 2,068,857,569.45

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Solution

The fourth proportional to 2,068,857,569.45, 2,903,656,538.35 and 2,068,857,569.45 is: 2,903,656,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,857,569.45 : 2,903,656,538.35 = 2,068,857,569.45 : x
  2. Step 2: Convert to fraction form
    2,068,857,569.45/2,903,656,538.35 = 2,068,857,569.45/x
  3. Step 3: Cross multiply
    2,068,857,569.45x = 2,903,656,538.35 × 2,068,857,569.45
  4. Step 4: Simplify right side
    2,068,857,569.45x = 6,007,251,808,448,381,952
  5. Step 5: Solve for x
    x = 6,007,251,808,448,381,952/2,068,857,569.45
  6. Step 6: Final answer
    x = 2,903,656,538.35

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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.