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Finding the Fourth Proportional to 191,568,488,547.60, 287,352,732,821.40 and 191,568,488,547.60

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Solution

The fourth proportional to 191,568,488,547.60, 287,352,732,821.40 and 191,568,488,547.60 is: 287,352,732,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,568,488,547.60 : 287,352,732,821.40 = 191,568,488,547.60 : x
  2. Step 2: Convert to fraction form
    191,568,488,547.60/287,352,732,821.40 = 191,568,488,547.60/x
  3. Step 3: Cross multiply
    191,568,488,547.60x = 287,352,732,821.40 × 191,568,488,547.60
  4. Step 4: Simplify right side
    191,568,488,547.60x = 55,047,728,706,617,931,202,560
  5. Step 5: Solve for x
    x = 55,047,728,706,617,931,202,560/191,568,488,547.60
  6. Step 6: Final answer
    x = 287,352,732,821.40

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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.