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Finding the Fourth Proportional to 435,886,596,334.40, 653,829,894,501.60 and 435,886,596,334.40

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Solution

The fourth proportional to 435,886,596,334.40, 653,829,894,501.60 and 435,886,596,334.40 is: 653,829,894,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,886,596,334.40 : 653,829,894,501.60 = 435,886,596,334.40 : x
  2. Step 2: Convert to fraction form
    435,886,596,334.40/653,829,894,501.60 = 435,886,596,334.40/x
  3. Step 3: Cross multiply
    435,886,596,334.40x = 653,829,894,501.60 × 435,886,596,334.40
  4. Step 4: Simplify right side
    435,886,596,334.40x = 284,995,687,295,982,271,201,280
  5. Step 5: Solve for x
    x = 284,995,687,295,982,271,201,280/435,886,596,334.40
  6. Step 6: Final answer
    x = 653,829,894,501.60

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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.