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Finding the Fourth Proportional to 116,429,345.40, 174,644,018.10 and 116,429,345.40

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Solution

The fourth proportional to 116,429,345.40, 174,644,018.10 and 116,429,345.40 is: 174,644,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,429,345.40 : 174,644,018.10 = 116,429,345.40 : x
  2. Step 2: Convert to fraction form
    116,429,345.40/174,644,018.10 = 116,429,345.40/x
  3. Step 3: Cross multiply
    116,429,345.40x = 174,644,018.10 × 116,429,345.40
  4. Step 4: Simplify right side
    116,429,345.40x = 20,333,688,705,408,752
  5. Step 5: Solve for x
    x = 20,333,688,705,408,752/116,429,345.40
  6. Step 6: Final answer
    x = 174,644,018.10

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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.