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Finding the Fourth Proportional to 97,698,288,901.40, 146,547,433,352.10 and 97,698,288,901.40

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Solution

The fourth proportional to 97,698,288,901.40, 146,547,433,352.10 and 97,698,288,901.40 is: 146,547,433,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,698,288,901.40 : 146,547,433,352.10 = 97,698,288,901.40 : x
  2. Step 2: Convert to fraction form
    97,698,288,901.40/146,547,433,352.10 = 97,698,288,901.40/x
  3. Step 3: Cross multiply
    97,698,288,901.40x = 146,547,433,352.10 × 97,698,288,901.40
  4. Step 4: Simplify right side
    97,698,288,901.40x = 14,317,433,481,392,128,262,144
  5. Step 5: Solve for x
    x = 14,317,433,481,392,128,262,144/97,698,288,901.40
  6. Step 6: Final answer
    x = 146,547,433,352.10

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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.