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Finding the Fourth Proportional to 49,673,174,427.60, 74,509,761,641.40 and 49,673,174,427.60

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Solution

The fourth proportional to 49,673,174,427.60, 74,509,761,641.40 and 49,673,174,427.60 is: 74,509,761,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,673,174,427.60 : 74,509,761,641.40 = 49,673,174,427.60 : x
  2. Step 2: Convert to fraction form
    49,673,174,427.60/74,509,761,641.40 = 49,673,174,427.60/x
  3. Step 3: Cross multiply
    49,673,174,427.60x = 74,509,761,641.40 × 49,673,174,427.60
  4. Step 4: Simplify right side
    49,673,174,427.60x = 3,701,136,386,572,161,646,592
  5. Step 5: Solve for x
    x = 3,701,136,386,572,161,646,592/49,673,174,427.60
  6. Step 6: Final answer
    x = 74,509,761,641.40

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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.