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Finding the Fourth Proportional to 782,598,082.35, 1,097,249,746.65 and 782,598,082.35

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Solution

The fourth proportional to 782,598,082.35, 1,097,249,746.65 and 782,598,082.35 is: 1,097,249,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,598,082.35 : 1,097,249,746.65 = 782,598,082.35 : x
  2. Step 2: Convert to fraction form
    782,598,082.35/1,097,249,746.65 = 782,598,082.35/x
  3. Step 3: Cross multiply
    782,598,082.35x = 1,097,249,746.65 × 782,598,082.35
  4. Step 4: Simplify right side
    782,598,082.35x = 858,705,547,587,313,408
  5. Step 5: Solve for x
    x = 858,705,547,587,313,408/782,598,082.35
  6. Step 6: Final answer
    x = 1,097,249,746.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.