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Finding the Fourth Proportional to 447,510,528,037.95, 671,265,792,056.93 and 447,510,528,037.95

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Solution

The fourth proportional to 447,510,528,037.95, 671,265,792,056.93 and 447,510,528,037.95 is: 671,265,792,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,510,528,037.95 : 671,265,792,056.93 = 447,510,528,037.95 : x
  2. Step 2: Convert to fraction form
    447,510,528,037.95/671,265,792,056.93 = 447,510,528,037.95/x
  3. Step 3: Cross multiply
    447,510,528,037.95x = 671,265,792,056.93 × 447,510,528,037.95
  4. Step 4: Simplify right side
    447,510,528,037.95x = 300,398,509,057,209,507,250,176
  5. Step 5: Solve for x
    x = 300,398,509,057,209,507,250,176/447,510,528,037.95
  6. Step 6: Final answer
    x = 671,265,792,056.93

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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.