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Finding the Fourth Proportional to 1,965,044,445,490.40, 2,947,566,668,235.50 and 1,965,044,445,490.40

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Solution

The fourth proportional to 1,965,044,445,490.40, 2,947,566,668,235.50 and 1,965,044,445,490.40 is: 2,947,566,668,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,044,445,490.40 : 2,947,566,668,235.50 = 1,965,044,445,490.40 : x
  2. Step 2: Convert to fraction form
    1,965,044,445,490.40/2,947,566,668,235.50 = 1,965,044,445,490.40/x
  3. Step 3: Cross multiply
    1,965,044,445,490.40x = 2,947,566,668,235.50 × 1,965,044,445,490.40
  4. Step 4: Simplify right side
    1,965,044,445,490.40x = 5,792,099,509,128,813,613,154,304
  5. Step 5: Solve for x
    x = 5,792,099,509,128,813,613,154,304/1,965,044,445,490.40
  6. Step 6: Final answer
    x = 2,947,566,668,235.50

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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.