Finding the Fourth Proportional to 1,536,024,595.58, 2,119,717,626.53 and 831,184,140.36
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Solution
The fourth proportional to 1,536,024,595.58, 2,119,717,626.53 and 831,184,140.36 is: 1,147,036,107.55
Step by Step Solution
- Step 1: Write the proportion equation
1,536,024,595.58 : 2,119,717,626.53 = 831,184,140.36 : x - Step 2: Convert to fraction form
1,536,024,595.58/2,119,717,626.53 = 831,184,140.36/x - Step 3: Cross multiply
1,536,024,595.58x = 2,119,717,626.53 × 831,184,140.36 - Step 4: Simplify right side
1,536,024,595.58x = 1,761,875,673,209,121,792 - Step 5: Solve for x
x = 1,761,875,673,209,121,792/1,536,024,595.58 - Step 6: Final answer
x = 1,147,036,107.55
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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.