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Finding the Fourth Proportional to 48,528,078,653.30, 72,792,117,979.95 and 48,528,078,653.30

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Solution

The fourth proportional to 48,528,078,653.30, 72,792,117,979.95 and 48,528,078,653.30 is: 72,792,117,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,528,078,653.30 : 72,792,117,979.95 = 48,528,078,653.30 : x
  2. Step 2: Convert to fraction form
    48,528,078,653.30/72,792,117,979.95 = 48,528,078,653.30/x
  3. Step 3: Cross multiply
    48,528,078,653.30x = 72,792,117,979.95 × 48,528,078,653.30
  4. Step 4: Simplify right side
    48,528,078,653.30x = 3,532,461,626,671,306,899,456
  5. Step 5: Solve for x
    x = 3,532,461,626,671,306,899,456/48,528,078,653.30
  6. Step 6: Final answer
    x = 72,792,117,979.95

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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.