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Finding the Fourth Proportional to 903,638,532.30, 1,355,457,798.45 and 903,638,532.30

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Solution

The fourth proportional to 903,638,532.30, 1,355,457,798.45 and 903,638,532.30 is: 1,355,457,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,638,532.30 : 1,355,457,798.45 = 903,638,532.30 : x
  2. Step 2: Convert to fraction form
    903,638,532.30/1,355,457,798.45 = 903,638,532.30/x
  3. Step 3: Cross multiply
    903,638,532.30x = 1,355,457,798.45 × 903,638,532.30
  4. Step 4: Simplify right side
    903,638,532.30x = 1,224,843,895,585,947,136
  5. Step 5: Solve for x
    x = 1,224,843,895,585,947,136/903,638,532.30
  6. Step 6: Final answer
    x = 1,355,457,798.45

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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.