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Finding the Fourth Proportional to 891,636,768,007.20, 1,251,817,862,594.40 and 891,636,768,007.20

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Solution

The fourth proportional to 891,636,768,007.20, 1,251,817,862,594.40 and 891,636,768,007.20 is: 1,251,817,862,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,636,768,007.20 : 1,251,817,862,594.40 = 891,636,768,007.20 : x
  2. Step 2: Convert to fraction form
    891,636,768,007.20/1,251,817,862,594.40 = 891,636,768,007.20/x
  3. Step 3: Cross multiply
    891,636,768,007.20x = 1,251,817,862,594.40 × 891,636,768,007.20
  4. Step 4: Simplify right side
    891,636,768,007.20x = 1,116,166,833,137,351,875,624,960
  5. Step 5: Solve for x
    x = 1,116,166,833,137,351,875,624,960/891,636,768,007.20
  6. Step 6: Final answer
    x = 1,251,817,862,594.40

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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.