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Finding the Fourth Proportional to 977,430,007,127.02, 1,466,145,010,690.50 and 977,430,007,127.02

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Solution

The fourth proportional to 977,430,007,127.02, 1,466,145,010,690.50 and 977,430,007,127.02 is: 1,466,145,010,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,430,007,127.02 : 1,466,145,010,690.50 = 977,430,007,127.02 : x
  2. Step 2: Convert to fraction form
    977,430,007,127.02/1,466,145,010,690.50 = 977,430,007,127.02/x
  3. Step 3: Cross multiply
    977,430,007,127.02x = 1,466,145,010,690.50 × 977,430,007,127.02
  4. Step 4: Simplify right side
    977,430,007,127.02x = 1,433,054,128,248,460,368,936,960
  5. Step 5: Solve for x
    x = 1,433,054,128,248,460,368,936,960/977,430,007,127.02
  6. Step 6: Final answer
    x = 1,466,145,010,690.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.