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Finding the Fourth Proportional to 98,415,809.40, 147,623,714.10 and 98,415,809.40

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Solution

The fourth proportional to 98,415,809.40, 147,623,714.10 and 98,415,809.40 is: 147,623,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415,809.40 : 147,623,714.10 = 98,415,809.40 : x
  2. Step 2: Convert to fraction form
    98,415,809.40/147,623,714.10 = 98,415,809.40/x
  3. Step 3: Cross multiply
    98,415,809.40x = 147,623,714.10 × 98,415,809.40
  4. Step 4: Simplify right side
    98,415,809.40x = 14,528,507,309,785,692
  5. Step 5: Solve for x
    x = 14,528,507,309,785,692/98,415,809.40
  6. Step 6: Final answer
    x = 147,623,714.10

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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.