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Finding the Fourth Proportional to 32,663,133,031.70, 48,994,699,547.55 and 32,663,133,031.70

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Solution

The fourth proportional to 32,663,133,031.70, 48,994,699,547.55 and 32,663,133,031.70 is: 48,994,699,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,663,133,031.70 : 48,994,699,547.55 = 32,663,133,031.70 : x
  2. Step 2: Convert to fraction form
    32,663,133,031.70/48,994,699,547.55 = 32,663,133,031.70/x
  3. Step 3: Cross multiply
    32,663,133,031.70x = 48,994,699,547.55 × 32,663,133,031.70
  4. Step 4: Simplify right side
    32,663,133,031.70x = 1,600,320,389,169,797,660,672
  5. Step 5: Solve for x
    x = 1,600,320,389,169,797,660,672/32,663,133,031.70
  6. Step 6: Final answer
    x = 48,994,699,547.55

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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.