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Finding the Fourth Proportional to 447,510,528,052.45, 671,265,792,078.68 and 447,510,528,052.45

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Solution

The fourth proportional to 447,510,528,052.45, 671,265,792,078.68 and 447,510,528,052.45 is: 671,265,792,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,510,528,052.45 : 671,265,792,078.68 = 447,510,528,052.45 : x
  2. Step 2: Convert to fraction form
    447,510,528,052.45/671,265,792,078.68 = 447,510,528,052.45/x
  3. Step 3: Cross multiply
    447,510,528,052.45x = 671,265,792,078.68 × 447,510,528,052.45
  4. Step 4: Simplify right side
    447,510,528,052.45x = 300,398,509,076,676,211,638,272
  5. Step 5: Solve for x
    x = 300,398,509,076,676,211,638,272/447,510,528,052.45
  6. Step 6: Final answer
    x = 671,265,792,078.68

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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.