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Finding the Fourth Proportional to 10,759,849,742,574, 16,139,774,613,861 and 10,759,849,742,574

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Solution

The fourth proportional to 10,759,849,742,574, 16,139,774,613,861 and 10,759,849,742,574 is: 16,139,774,613,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759,849,742,574 : 16,139,774,613,861 = 10,759,849,742,574 : x
  2. Step 2: Convert to fraction form
    10,759,849,742,574/16,139,774,613,861 = 10,759,849,742,574/x
  3. Step 3: Cross multiply
    10,759,849,742,574x = 16,139,774,613,861 × 10,759,849,742,574
  4. Step 4: Simplify right side
    10,759,849,742,574x = 173,661,549,724,154,663,467,483,136
  5. Step 5: Solve for x
    x = 173,661,549,724,154,663,467,483,136/10,759,849,742,574
  6. Step 6: Final answer
    x = 16,139,774,613,861

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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.