Finding the Fourth Proportional to 1,230,120,030,963.70, 1,697,565,052,293.70 and 735,724,579,661.18
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Solution
The fourth proportional to 1,230,120,030,963.70, 1,697,565,052,293.70 and 735,724,579,661.18 is: 1,015,299,566,797.43
Step by Step Solution
- Step 1: Write the proportion equation
1,230,120,030,963.70 : 1,697,565,052,293.70 = 735,724,579,661.18 : x - Step 2: Convert to fraction form
1,230,120,030,963.70/1,697,565,052,293.70 = 735,724,579,661.18/x - Step 3: Cross multiply
1,230,120,030,963.70x = 1,697,565,052,293.70 × 735,724,579,661.18 - Step 4: Simplify right side
1,230,120,030,963.70x = 1,248,940,334,546,291,483,738,112 - Step 5: Solve for x
x = 1,248,940,334,546,291,483,738,112/1,230,120,030,963.70 - Step 6: Final answer
x = 1,015,299,566,797.43
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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.