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Finding the Fourth Proportional to 556,919,210,454.40, 835,378,815,681.55 and 556,919,210,454.40

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Solution

The fourth proportional to 556,919,210,454.40, 835,378,815,681.55 and 556,919,210,454.40 is: 835,378,815,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,919,210,454.40 : 835,378,815,681.55 = 556,919,210,454.40 : x
  2. Step 2: Convert to fraction form
    556,919,210,454.40/835,378,815,681.55 = 556,919,210,454.40/x
  3. Step 3: Cross multiply
    556,919,210,454.40x = 835,378,815,681.55 × 556,919,210,454.40
  4. Step 4: Simplify right side
    556,919,210,454.40x = 465,238,510,459,700,633,403,392
  5. Step 5: Solve for x
    x = 465,238,510,459,700,633,403,392/556,919,210,454.40
  6. Step 6: Final answer
    x = 835,378,815,681.55

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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.