Finding the Fourth Proportional to 1,709,495,295,472.70, 2,564,325,413,810.40 and 562,102,118,814.63
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Solution
The fourth proportional to 1,709,495,295,472.70, 2,564,325,413,810.40 and 562,102,118,814.63 is: 843,180,295,523.69
Step by Step Solution
- Step 1: Write the proportion equation
1,709,495,295,472.70 : 2,564,325,413,810.40 = 562,102,118,814.63 : x - Step 2: Convert to fraction form
1,709,495,295,472.70/2,564,325,413,810.40 = 562,102,118,814.63/x - Step 3: Cross multiply
1,709,495,295,472.70x = 2,564,325,413,810.40 × 562,102,118,814.63 - Step 4: Simplify right side
1,709,495,295,472.70x = 1,441,412,748,433,028,609,474,560 - Step 5: Solve for x
x = 1,441,412,748,433,028,609,474,560/1,709,495,295,472.70 - Step 6: Final answer
x = 843,180,295,523.69
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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.