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Finding the Fourth Proportional to 532,671,509.80, 798,865,547.10 and 164,205,749.80

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Solution

The fourth proportional to 532,671,509.80, 798,865,547.10 and 164,205,749.80 is: 246,264,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,671,509.80 : 798,865,547.10 = 164,205,749.80 : x
  2. Step 2: Convert to fraction form
    532,671,509.80/798,865,547.10 = 164,205,749.80/x
  3. Step 3: Cross multiply
    532,671,509.80x = 798,865,547.10 × 164,205,749.80
  4. Step 4: Simplify right side
    532,671,509.80x = 131,178,316,150,942,736
  5. Step 5: Solve for x
    x = 131,178,316,150,942,736/532,671,509.80
  6. Step 6: Final answer
    x = 246,264,937.65

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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.