Finding the Fourth Proportional to 16,534,742,954,656, 22,817,865,720,100 and 9,127,110,774,812.40
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Solution
The fourth proportional to 16,534,742,954,656, 22,817,865,720,100 and 9,127,110,774,812.40 is: 12,595,368,953,921.55
Step by Step Solution
- Step 1: Write the proportion equation
16,534,742,954,656 : 22,817,865,720,100 = 9,127,110,774,812.40 : x - Step 2: Convert to fraction form
16,534,742,954,656/22,817,865,720,100 = 9,127,110,774,812.40/x - Step 3: Cross multiply
16,534,742,954,656x = 22,817,865,720,100 × 9,127,110,774,812.40 - Step 4: Simplify right side
16,534,742,954,656x = 208,261,188,072,147,214,057,603,072 - Step 5: Solve for x
x = 208,261,188,072,147,214,057,603,072/16,534,742,954,656 - Step 6: Final answer
x = 12,595,368,953,921.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.