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Finding the Fourth Proportional to 697,024,905.40, 1,045,537,358.10 and 697,024,905.40

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Solution

The fourth proportional to 697,024,905.40, 1,045,537,358.10 and 697,024,905.40 is: 1,045,537,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,024,905.40 : 1,045,537,358.10 = 697,024,905.40 : x
  2. Step 2: Convert to fraction form
    697,024,905.40/1,045,537,358.10 = 697,024,905.40/x
  3. Step 3: Cross multiply
    697,024,905.40x = 1,045,537,358.10 × 697,024,905.40
  4. Step 4: Simplify right side
    697,024,905.40x = 728,765,578,121,818,368
  5. Step 5: Solve for x
    x = 728,765,578,121,818,368/697,024,905.40
  6. Step 6: Final answer
    x = 1,045,537,358.10

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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.