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Finding the Fourth Proportional to 98,415,648.16, 147,623,472.22 and 98,415,648.16

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Solution

The fourth proportional to 98,415,648.16, 147,623,472.22 and 98,415,648.16 is: 147,623,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415,648.16 : 147,623,472.22 = 98,415,648.16 : x
  2. Step 2: Convert to fraction form
    98,415,648.16/147,623,472.22 = 98,415,648.16/x
  3. Step 3: Cross multiply
    98,415,648.16x = 147,623,472.22 × 98,415,648.16
  4. Step 4: Simplify right side
    98,415,648.16x = 14,528,459,702,161,054
  5. Step 5: Solve for x
    x = 14,528,459,702,161,054/98,415,648.16
  6. Step 6: Final answer
    x = 147,623,472.22

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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.