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Finding the Fourth Proportional to 546,205,897.40, 819,308,846.10 and 546,205,897.40

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Solution

The fourth proportional to 546,205,897.40, 819,308,846.10 and 546,205,897.40 is: 819,308,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,205,897.40 : 819,308,846.10 = 546,205,897.40 : x
  2. Step 2: Convert to fraction form
    546,205,897.40/819,308,846.10 = 546,205,897.40/x
  3. Step 3: Cross multiply
    546,205,897.40x = 819,308,846.10 × 546,205,897.40
  4. Step 4: Simplify right side
    546,205,897.40x = 447,511,323,531,808,960
  5. Step 5: Solve for x
    x = 447,511,323,531,808,960/546,205,897.40
  6. Step 6: Final answer
    x = 819,308,846.10

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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.