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Finding the Fourth Proportional to 423,868,985.40, 635,803,478.10 and 423,868,985.40

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Solution

The fourth proportional to 423,868,985.40, 635,803,478.10 and 423,868,985.40 is: 635,803,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,868,985.40 : 635,803,478.10 = 423,868,985.40 : x
  2. Step 2: Convert to fraction form
    423,868,985.40/635,803,478.10 = 423,868,985.40/x
  3. Step 3: Cross multiply
    423,868,985.40x = 635,803,478.10 × 423,868,985.40
  4. Step 4: Simplify right side
    423,868,985.40x = 269,497,375,176,038,112
  5. Step 5: Solve for x
    x = 269,497,375,176,038,112/423,868,985.40
  6. Step 6: Final answer
    x = 635,803,478.10

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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.