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Finding the Fourth Proportional to 16,556,437,729.40, 24,834,656,594.10 and 16,556,437,729.40

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Solution

The fourth proportional to 16,556,437,729.40, 24,834,656,594.10 and 16,556,437,729.40 is: 24,834,656,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,556,437,729.40 : 24,834,656,594.10 = 16,556,437,729.40 : x
  2. Step 2: Convert to fraction form
    16,556,437,729.40/24,834,656,594.10 = 16,556,437,729.40/x
  3. Step 3: Cross multiply
    16,556,437,729.40x = 24,834,656,594.10 × 16,556,437,729.40
  4. Step 4: Simplify right side
    16,556,437,729.40x = 411,173,445,431,249,731,584
  5. Step 5: Solve for x
    x = 411,173,445,431,249,731,584/16,556,437,729.40
  6. Step 6: Final answer
    x = 24,834,656,594.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.