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Finding the Fourth Proportional to 1,020,045,587.70, 1,430,784,800.70 and 1,020,045,587.70

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Solution

The fourth proportional to 1,020,045,587.70, 1,430,784,800.70 and 1,020,045,587.70 is: 1,430,784,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,045,587.70 : 1,430,784,800.70 = 1,020,045,587.70 : x
  2. Step 2: Convert to fraction form
    1,020,045,587.70/1,430,784,800.70 = 1,020,045,587.70/x
  3. Step 3: Cross multiply
    1,020,045,587.70x = 1,430,784,800.70 × 1,020,045,587.70
  4. Step 4: Simplify right side
    1,020,045,587.70x = 1,459,465,722,902,258,944
  5. Step 5: Solve for x
    x = 1,459,465,722,902,258,944/1,020,045,587.70
  6. Step 6: Final answer
    x = 1,430,784,800.70

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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.