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Finding the Fourth Proportional to 173,338,884,043.60, 260,008,326,065.40 and 173,338,884,043.60

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Solution

The fourth proportional to 173,338,884,043.60, 260,008,326,065.40 and 173,338,884,043.60 is: 260,008,326,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,338,884,043.60 : 260,008,326,065.40 = 173,338,884,043.60 : x
  2. Step 2: Convert to fraction form
    173,338,884,043.60/260,008,326,065.40 = 173,338,884,043.60/x
  3. Step 3: Cross multiply
    173,338,884,043.60x = 260,008,326,065.40 × 173,338,884,043.60
  4. Step 4: Simplify right side
    173,338,884,043.60x = 45,069,553,082,220,909,953,024
  5. Step 5: Solve for x
    x = 45,069,553,082,220,909,953,024/173,338,884,043.60
  6. Step 6: Final answer
    x = 260,008,326,065.40

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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.